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## Simson, Daniel

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 Author ID: simson.daniel Published as: Simson, Daniel; Simson, D.
 Documents Indexed: 186 Publications since 1969, including 4 Books 2 Contributions as Editor Reviewing Activity: 174 Reviews Co-Authors: 43 Co-Authors with 85 Joint Publications 523 Co-Co-Authors
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### Co-Authors

 103 single-authored 10 Kasjan, Stanisław 8 Gąsiorek, Marcin 8 Zajac, Katarzyna 7 Skowroński, Andrzej 5 Tyc, Andrzej 4 Kielpinski, Roman 4 Klemp, Bogumiła 4 Kosakowska, Justyna 4 Polak, Agnieszka 3 Arnold, David M. 3 Dowbor, Piotr 3 Felisiak, Mariusz 3 Leszczyński, Zbigniew 2 Balcerzyk, Stanisław 2 Fujita, Hisaaki 2 García, Jos Luis 2 Göbel, Rüdiger 2 Józefiak, Tadeusz 2 Krempa, Jan 2 Makuracki, Bartosz 2 Sakai, Yosuke 2 Vogel, Wolfgang 1 Assem, Ibrahim 1 Bautista, Raymundo 1 Bocian, Rafał 1 Chin, William 1 Cuadra, Juan 1 de la Peña, José Antonio 1 Drozdowski, Grzegorz 1 García Hernández, José Luis 1 Guil Asensio, Pedro A. 1 Jakubowski, Adam 1 Jensen, Christian Ulrik 1 Jøndrup, Søren 1 Lenzing, Helmut 1 Marczak, Grzegorz 1 Nguyen Viet Dung 1 Nowak, Sebastian 1 Ringel, Claus Michael 1 Timoney, Richard Martin 1 von Höhne, Hans-Joachim 1 Wojewódzki, Mariusz 1 Zyglarski, Błażej
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### Serials

 23 Journal of Algebra 13 Linear Algebra and its Applications 11 Colloquium Mathematicum 11 Journal of Pure and Applied Algebra 11 Fundamenta Informaticae 10 Communications in Algebra 8 Fundamenta Mathematicae 7 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 5 Bulletin of the Polish Academy of Sciences, Mathematics 5 Algebra and Discrete Mathematics 4 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 3 Demonstratio Mathematica 3 London Mathematical Society Student Texts 2 Discrete Applied Mathematics 2 Rocky Mountain Journal of Mathematics 2 Dissertationes Mathematicae 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Bulletin de l’Académie Polonaise des Sciences. Série des Sciences Mathématiques 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Banach Center Publications 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Arkiv för Matematik 1 Archiv der Mathematik 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Mathematical Journal of Okayama University 1 Osaka Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tsukuba Journal of Mathematics 1 Bulletin of the Greek Mathematical Society 1 European Journal of Combinatorics 1 Annales Societatis Mathematicae Polonae. Seria I. Commentationes Mathematicae 1 SIAM Journal on Discrete Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Euromath Bulletin 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Algebras and Representation Theory 1 The Arabian Journal for Science and Engineering. Section C: Theme Issues 1 Annales Societatis Mathematicae Polonae 1 Algebra, Logic and Applications 1 Journal of $$K$$-Theory 1 Wiadomości Matematyczne
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### Fields

 152 Associative rings and algebras (16-XX) 37 Category theory; homological algebra (18-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 29 Combinatorics (05-XX) 23 Computer science (68-XX) 22 Order, lattices, ordered algebraic structures (06-XX) 12 Number theory (11-XX) 11 Group theory and generalizations (20-XX) 6 Commutative algebra (13-XX) 5 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Algebraic topology (55-XX)

### Citations contained in zbMATH Open

166 Publications have been cited 2,550 times in 1,048 Documents Cited by Year
Elements of the representation theory of associative algebras. Vol. 1: Techniques of representation theory. Zbl 1092.16001
Assem, Ibrahim; Simson, Daniel; Skowroński, Andrzej
2006
Linear representations of partially ordered sets and vector space categories. Zbl 0818.16009
Simson, Daniel
1992
Elements of the representation theory of associative algebras. Vol. 3: Representation-infinite tilted algebras. Zbl 1131.16001
Simson, Daniel; Skowroński, Andrzej
2007
Elements of the representation theory of associative algebras. Vol. 2: Tubes and concealed algebras of Euclidean type. Zbl 1129.16001
Simson, Daniel; Skowroński, Andrzej
2007
On pure global dimension of locally finitely presented Grothendieck categories. Zbl 0361.18010
Simson, Daniel
1977
Partial Coxeter functors and right pure semisimple hereditary rings. Zbl 0477.16014
Simson, Daniel
1981
Prinjective modules, reflection functors, quadratic forms, and Auslander- Reiten sequences. Zbl 0789.16010
de la Peña, J. A.; Simson, D.
1992
A Coxeter-Gram classification of positive simply laced edge-bipartite graphs. Zbl 1272.05072
Simson, Daniel
2013
Mesh geometries of root orbits of integral quadratic forms. Zbl 1202.15030
Simson, Daniel
2011
Posets of finite prinjective type and a class of orders. Zbl 0815.16006
Simson, Daniel
1993
Coalgebras, comodules, pseudocompact algebras and tame comodule type. Zbl 1055.16038
Simson, Daniel
2001
Mesh algorithms for solving principal Diophantine equations, sand-glass tubes and tori of roots. Zbl 1257.11109
Simson, Daniel
2011
Pure semisimple categories and rings of finite representation type. Zbl 0409.16030
Simson, Daniel
1977
Representation types of the category of subprojective representations of a finite poset over $$K[t]/(t^m)$$ and a solution of a Birkhoff type problem. Zbl 1123.16010
Simson, Daniel
2007
Algorithms determining matrix Morsifications, Weyl orbits, Coxeter polynomials and mesh geometries of roots for Dynkin diagrams. Zbl 1290.68138
Simson, Daniel
2013
Quasi-Artin species and rings of finite representation type. Zbl 0428.16031
Dowbor, Piotr; Simson, Daniel
1980
On pure homological dimension. Zbl 0303.16016
Kielpinski, Roman; Simson, D.
1975
Integral bilinear forms, Coxeter transformations and Coxeter polynomials of finite posets. Zbl 1196.15022
Simson, Daniel
2010
An Artin problem for division ring extensions and the pure semisimplicity conjecture. II. Zbl 0953.16012
Simson, Daniel
2000
Schurian sp-representation-finite right peak PI-rings and their indecomposable socle projective modules. Zbl 0729.16004
Klemp, Bogumiła; Simson, Daniel
1990
Functor categories in which every flat object is projective. Zbl 0328.18005
Simson, D.
1974
Coalgebras of tame comodule type, comodule categories, and a tame-wild dichotomy problem. Zbl 1301.16042
Simson, Daniel
2011
A reduction functor, tameness, and Tits form for a class of orders. Zbl 0831.16011
Simson, Daniel
1995
Mesh algorithms for Coxeter spectral classification of Cox-regular edge-bipartite graphs with loops. II: Application to Coxeter spectral analysis. Zbl 1335.05145
Kasjan, Stanisław; Simson, Daniel
2015
Vector space categories, right peak rings and their socle projective modules. Zbl 0558.16016
Simson, Daniel
1985
Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs. I. A Gram classification. Zbl 1371.05115
Simson, Daniel
2016
Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs. II: Isotropy mini-groups. Zbl 1371.05116
Simson, Daniel
2016
On right pure semisimple hereditary rings and an Artin problem. Zbl 0848.16013
Simson, Daniel
1995
Mesh algorithms for Coxeter spectral classification of Cox-regular edge-bipartite graphs with loops. I: Mesh root systems. Zbl 1335.05144
Kasjan, Stanisław; Simson, Daniel
2015
Incidence coalgebras of intervally finite posets, their integral quadratic forms and comodule categories. Zbl 1173.16009
Simson, Daniel
2009
A framework for Coxeter spectral analysis of edge-bipartite graphs, their rational morsifications and mesh geometries of root orbits. Zbl 1269.05073
Simson, Daniel
2013
$$P$$-critical integral quadratic forms and positive unit forms: an algorithmic approach. Zbl 1206.15020
Marczak, Grzegorz; Polak, Agnieszka; Simson, Daniel
2010
Tame-wild dichotomy of Birkhoff type problems for nilpotent linear operators. Zbl 1312.16011
Simson, Daniel
2015
Prinjective modules, propartite modules, representations of bocses and lattices over orders. Zbl 0937.16019
Simson, Daniel
1997
Torsionless modules over 1-Gorenstein $$\ell$$-hereditary Artinian rings. Zbl 0537.16019
Bautista, Raymundo; Simson, Daniel
1984
Hereditary coalgebras and representations of species. Zbl 1116.16038
Kosakowska, Justyna; Simson, Daniel
2005
Categories of representations of species. Zbl 0396.18004
Simson, Daniel
1979
Locally Dynkin quivers and hereditary coalgebras whose left comodules are direct sums of finite dimensional comodules. Zbl 1005.16037
Nowak, Sebastian; Simson, Daniel
2002
Chain categories of modules and subprojective representations of posets over uniserial algebras. Zbl 1048.16006
Simson, Daniel
2002
A class of potential counter-examples to the pure semisimplicity conjecture. Zbl 0936.16010
Simson, Daniel
1997
Corrigendum: Pure semisimple categories and rings of finite representation type. Zbl 0449.16027
Simson, Daniel
1980
Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two. Zbl 1361.05061
Simson, Daniel; Zając, Katarzyna
2017
On pure semi-simple Grothendieck categories. II. Zbl 0393.18011
Simson, Daniel
1980
Inflation algorithm for Cox-regular positive edge-bipartite graphs with loops. Zbl 1377.05078
Makuracki, Bartosz; Simson, Daniel; Zyglarski, Błażej
2017
Path coalgebras of quivers with relations and a tame-wild dichotomy problem for coalgebras. Zbl 1072.16015
Simson, Daniel
2004
A computation of positive one-peak posets that are Tits-sincere. Zbl 1260.06005
Gąsiorek, Marcin; Simson, Daniel
2012
On Coxeter type study of non-negative posets using matrix morsifications and isotropy groups of Dynkin and Euclidean diagrams. Zbl 1318.06004
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2015
On representation types of module subcategories and orders. Zbl 0805.16011
Simson, Daniel
1993
Algorithms for isotropy groups of Cox-regular edge-bipartite graphs. Zbl 1335.05146
Kasjan, Stanisław; Simson, Daniel
2015
Numeric and mesh algorithms for the Coxeter spectral study of positive edge-bipartite graphs and their isotropy groups. Zbl 1314.05196
Bocian, Rafał; Felisiak, Mariusz; Simson, Daniel
2014
One-peak posets with positive quadratic Tits form, their mesh translation quivers of roots, and programming in Maple and Python. Zbl 1272.06009
Gąsiorek, Marcin; Simson, Daniel
2012
An algorithmic solution of a Birkhoff type problem. Zbl 1156.16011
Simson, Daniel; Wojewódzki, Mariusz
2008
Socle reductions and socle projective modules. Zbl 0599.16014
Simson, Daniel
1986
Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs. Zbl 1319.05142
Felisiak, Mariusz; Simson, Daniel
2015
Algorithmic computation of principal posets using Maple and Python. Zbl 1310.06004
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2014
On pure semi-simple Grothendieck categories. I. Zbl 0392.18012
Simson, Daniel
1978
A Coxeter spectral classification of positive edge-bipartite graphs. I: Dynkin types $$\mathcal{B}_n$$, $$\mathcal{C}_n$$, $$\mathcal{F}_4$$, $$\mathcal{G}_2$$, $$\mathbb{E}_6$$, $$\mathbb{E}_7$$, $$\mathbb{E}_8$$. Zbl 1396.05049
Simson, Daniel
2018
A Gram classification of principal Cox-regular edge-bipartite graphs via inflation algorithm. Zbl 1401.05137
Makuracki, Bartosz; Simson, Daniel
2019
An Artin problem for division ring extensions and the pure semisimplicity conjecture. I. Zbl 0873.16010
Simson, Daniel
1996
A Gram classification of non-negative corank-two loop-free edge-bipartite graphs. Zbl 1334.05053
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2016
A computational technique in Coxeter spectral study of symmetrizable integer Cartan matrices. Zbl 1429.05133
Simson, Daniel
2020
Pure-periodic modules and a structure of pure-projective resolutions. Zbl 1056.16004
Simson, Daniel
2002
Representation-finite Birkhoff type problems for nilpotent linear operators. Zbl 1418.16008
Simson, Daniel
2018
Localising embeddings of comodule categories with applications to tame and Euler coalgebras. Zbl 1136.16036
Simson, Daniel
2007
Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras. Zbl 1171.16008
Simson, Daniel
2006
Hereditary Artinian rings of finite representation type. Zbl 0455.16013
Dowbor, P.; Ringel, Claus Michael; Simson, D.
1980
Varieties of poset representations and minimal posets of wild prinjective type. Zbl 0834.16010
Kasjan, Stanisław; Simson, Daniel
1993
Structure and a Coxeter-Dynkin type classification of corank two non-negative posets. Zbl 1305.06002
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2015
Cohen-Macaulay modules over classical orders. Zbl 0994.16014
Simson, Daniel
2000
A framework for Coxeter spectral classification of finite posets and their mesh geometries of roots. Zbl 1284.16018
Simson, Daniel; Zając, Katarzyna
2013
Hom-computable coalgebras, a composition factors matrix and the Euler bilinear form of an Euler coalgebra. Zbl 1131.16020
Simson, Daniel
2007
On coalgebras of tame comodule type. Zbl 1086.16525
Simson, Daniel
2002
Flat comodules and perfect coalgebras. Zbl 1131.16018
2007
Socle projective representations of partially ordered sets and Tits quadratic forms with applications to lattices over orders. Zbl 0869.16008
Simson, Daniel
1996
On Corner type endo-wild algebras. Zbl 1151.16014
Simson, Daniel
2005
Tame prinjective type and Tits form of two-peak posets. I. Zbl 0856.16007
Kasjan, Stanisław; Simson, Daniel
1996
Representation embedding problems, categories of extensions and prinjective modules. Zbl 0929.16014
Simson, Daniel
1996
Rigid families and endomorphism algebras of Kronecker modules. Zbl 0934.16024
Göbel, Rüdiger; Simson, Daniel
1999
Embeddings of Kronecker modules into the category of prinjective modules and the endomorphism ring problem. Zbl 0904.16007
Göbel, Rüdiger; Simson, Daniel
1998
On Tits form and prinjective representations of posets of finite prinjective type. Zbl 0907.16003
Kosakowska, Justyna; Simson, Daniel
1998
Symbolic computation of strong Gram congruences for Cox-regular positive edge-bipartite graphs with loops. Zbl 1411.05108
Simson, Daniel
2019
Coxeter transformation and inverses of Cartan matrices for coalgebras. Zbl 1214.16011
Chin, William; Simson, Daniel
2010
A remark on projective dimension of flat modules. Zbl 0285.16024
Simson, D.
1974
Purity and generalized chain conditions. Zbl 0407.18003
Jensen, C. U.; Simson, D.
1979
A characterization of hereditary rings of finite representation type. Zbl 0433.16023
Dowbor, Piotr; Simson, Daniel
1980
Path coalgebras of profinite bound quivers, cotensor coalgebras of bound species and locally nilpotent representations. Zbl 1142.16005
Simson, Daniel
2007
Representations of finite partially ordered sets over commutative Artinian uniserial rings. Zbl 1106.16016
Arnold, David M.; Simson, Daniel
2006
Coxeter spectral classification of almost $$TP$$-critical one-peak posets using symbolic and numeric computations. Zbl 1290.16014
Polak, Agnieszka; Simson, Daniel
2014
Representations of finite posets over discrete valuation rings. Zbl 1142.16003
Arnold, David M.; Simson, Daniel
2007
Fully wild prinjective type of posets and their quadratic forms. Zbl 0831.16010
Kasjan, Stanisław; Simson, Daniel
1995
Moduled categories and adjusted modules over traced rings. Zbl 0834.16009
Simson, Daniel
1988
Tame prinjective type and Tits form of two-peak posets. II. Zbl 0944.16013
Kasjan, Stanisław; Simson, Daniel
1997
Tame-wild dichotomy for coalgebras. Zbl 1175.16029
Simson, Daniel
2008
Indecomposable modules over one-sided serial local rings and right pure semisimple PI-rings. Zbl 0525.16016
Simson, Daniel
1983
Peak reductions and waist reflection functors. Zbl 0780.16009
Simson, Daniel
1991
Right peak algebras of two-separate stratified posets, their Galois coverings and socle projective modules. Zbl 0791.16011
Simson, Daniel
1992
On triangular matrix rings of finite representation type. Zbl 0434.16022
Leszczynski, Zbigniew; Simson, Daniel
1979
Stable derived functors of the second symmetric power functor, second exterior power functor and Whitehead gamma functor. Zbl 0293.18017
Simson, Daniel
1974
On combinatorial algorithms computing mesh root systems and matrix morsifications for the Dynkin diagram $$\mathbb A_n$$. Zbl 1279.05033
Felisiak, Mariusz; Simson, Daniel
2013
Endo-wild representation type and generic representations of finite posets. Zbl 1108.16010
Arnold, David M.; Simson, Daniel
2005
A Coxeter spectral classification of positive edge-bipartite graphs. II: Dynkin type $$\mathbb{D}_n$$. Zbl 1459.05113
Simson, Daniel
2021
On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs. Zbl 1460.05080
Simson, Daniel; Zając, Katarzyna
2021
A computational technique in Coxeter spectral study of symmetrizable integer Cartan matrices. Zbl 1429.05133
Simson, Daniel
2020
A Gram classification of principal Cox-regular edge-bipartite graphs via inflation algorithm. Zbl 1401.05137
Makuracki, Bartosz; Simson, Daniel
2019
Symbolic computation of strong Gram congruences for Cox-regular positive edge-bipartite graphs with loops. Zbl 1411.05108
Simson, Daniel
2019
A Coxeter spectral classification of positive edge-bipartite graphs. I: Dynkin types $$\mathcal{B}_n$$, $$\mathcal{C}_n$$, $$\mathcal{F}_4$$, $$\mathcal{G}_2$$, $$\mathbb{E}_6$$, $$\mathbb{E}_7$$, $$\mathbb{E}_8$$. Zbl 1396.05049
Simson, Daniel
2018
Representation-finite Birkhoff type problems for nilpotent linear operators. Zbl 1418.16008
Simson, Daniel
2018
Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two. Zbl 1361.05061
Simson, Daniel; Zając, Katarzyna
2017
Inflation algorithm for Cox-regular positive edge-bipartite graphs with loops. Zbl 1377.05078
Makuracki, Bartosz; Simson, Daniel; Zyglarski, Błażej
2017
Flat complexes, pure periodicity and pure acyclic complexes. Zbl 1425.16006
Simson, Daniel
2017
Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs. I. A Gram classification. Zbl 1371.05115
Simson, Daniel
2016
Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs. II: Isotropy mini-groups. Zbl 1371.05116
Simson, Daniel
2016
A Gram classification of non-negative corank-two loop-free edge-bipartite graphs. Zbl 1334.05053
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2016
Mesh algorithms for Coxeter spectral classification of Cox-regular edge-bipartite graphs with loops. II: Application to Coxeter spectral analysis. Zbl 1335.05145
Kasjan, Stanisław; Simson, Daniel
2015
Mesh algorithms for Coxeter spectral classification of Cox-regular edge-bipartite graphs with loops. I: Mesh root systems. Zbl 1335.05144
Kasjan, Stanisław; Simson, Daniel
2015
Tame-wild dichotomy of Birkhoff type problems for nilpotent linear operators. Zbl 1312.16011
Simson, Daniel
2015
On Coxeter type study of non-negative posets using matrix morsifications and isotropy groups of Dynkin and Euclidean diagrams. Zbl 1318.06004
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2015
Algorithms for isotropy groups of Cox-regular edge-bipartite graphs. Zbl 1335.05146
Kasjan, Stanisław; Simson, Daniel
2015
Applications of matrix morsifications to Coxeter spectral study of loop-free edge-bipartite graphs. Zbl 1319.05142
Felisiak, Mariusz; Simson, Daniel
2015
Structure and a Coxeter-Dynkin type classification of corank two non-negative posets. Zbl 1305.06002
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2015
Incidence coalgebras of interval finite posets of tame comodule type. Zbl 1339.16018
Leszczyński, Zbigniew; Simson, Daniel
2015
Numeric and mesh algorithms for the Coxeter spectral study of positive edge-bipartite graphs and their isotropy groups. Zbl 1314.05196
Bocian, Rafał; Felisiak, Mariusz; Simson, Daniel
2014
Algorithmic computation of principal posets using Maple and Python. Zbl 1310.06004
Gąsiorek, Marcin; Simson, Daniel; Zając, Katarzyna
2014
Coxeter spectral classification of almost $$TP$$-critical one-peak posets using symbolic and numeric computations. Zbl 1290.16014
Polak, Agnieszka; Simson, Daniel
2014
A Coxeter-Gram classification of positive simply laced edge-bipartite graphs. Zbl 1272.05072
Simson, Daniel
2013
Algorithms determining matrix Morsifications, Weyl orbits, Coxeter polynomials and mesh geometries of roots for Dynkin diagrams. Zbl 1290.68138
Simson, Daniel
2013
A framework for Coxeter spectral analysis of edge-bipartite graphs, their rational morsifications and mesh geometries of root orbits. Zbl 1269.05073
Simson, Daniel
2013
A framework for Coxeter spectral classification of finite posets and their mesh geometries of roots. Zbl 1284.16018
Simson, Daniel; Zając, Katarzyna
2013
On combinatorial algorithms computing mesh root systems and matrix morsifications for the Dynkin diagram $$\mathbb A_n$$. Zbl 1279.05033
Felisiak, Mariusz; Simson, Daniel
2013
Toroidal algorithms for mesh geometries of root orbits of the Dynkin diagram $${\mathbb{D}}_{4}$$. Zbl 1269.05105
Simson, Daniel
2013
Algorithms computing $$O (n, \mathbb Z)$$-orbits of $$P$$-critical edge-bipartite graphs and $$P$$-critical unit forms using Maple and C#. Zbl 1310.05218
Polak, Agnieszka; Simson, Daniel
2013
A computation of positive one-peak posets that are Tits-sincere. Zbl 1260.06005
Gąsiorek, Marcin; Simson, Daniel
2012
One-peak posets with positive quadratic Tits form, their mesh translation quivers of roots, and programming in Maple and Python. Zbl 1272.06009
Gąsiorek, Marcin; Simson, Daniel
2012
Mesh geometries of root orbits of integral quadratic forms. Zbl 1202.15030
Simson, Daniel
2011
Mesh algorithms for solving principal Diophantine equations, sand-glass tubes and tori of roots. Zbl 1257.11109
Simson, Daniel
2011
Coalgebras of tame comodule type, comodule categories, and a tame-wild dichotomy problem. Zbl 1301.16042
Simson, Daniel
2011
Symbolic and numerical computation in determining $$P$$-critical unit forms and Tits $$P$$-critical posets. Zbl 1274.68696
Polak, Agnieszka; Simson, Daniel
2011
Programming in PYTHON and an algorithmic description of positive wandering on one-peak posets. Zbl 1274.06011
Gąsiorek, Marcin; Simson, Daniel
2011
Integral bilinear forms, Coxeter transformations and Coxeter polynomials of finite posets. Zbl 1196.15022
Simson, Daniel
2010
$$P$$-critical integral quadratic forms and positive unit forms: an algorithmic approach. Zbl 1206.15020
Marczak, Grzegorz; Polak, Agnieszka; Simson, Daniel
2010
Coxeter transformation and inverses of Cartan matrices for coalgebras. Zbl 1214.16011
Chin, William; Simson, Daniel
2010
Incidence coalgebras of intervally finite posets, their integral quadratic forms and comodule categories. Zbl 1173.16009
Simson, Daniel
2009
Tame comodule type, Roiter bocses, and a geometry context for coalgebras. Zbl 1210.16034
Simson, D.
2009
An algorithmic solution of a Birkhoff type problem. Zbl 1156.16011
Simson, Daniel; Wojewódzki, Mariusz
2008
Tame-wild dichotomy for coalgebras. Zbl 1175.16029
Simson, Daniel
2008
Cotilted coalgebras and tame comodule type. Zbl 1186.16039
Simson, Daniel
2008
Bipartite coalgebras and a reduction functor for coradical square complete coalgebras. Zbl 1173.16008
Kosakowska, Justyna; Simson, Daniel
2008
Representation-directed incidence coalgebras of intervally finite posets and the tame-wild dichotomy. Zbl 1191.16035
Simson, Daniel
2008
The Gabriel-Roiter measure for right pure semisimple rings. Zbl 1243.16010
Dung, Nguyen Viet; Simson, Daniel
2008
Elements of the representation theory of associative algebras. Vol. 3: Representation-infinite tilted algebras. Zbl 1131.16001
Simson, Daniel; Skowroński, Andrzej
2007
Elements of the representation theory of associative algebras. Vol. 2: Tubes and concealed algebras of Euclidean type. Zbl 1129.16001
Simson, Daniel; Skowroński, Andrzej
2007
Representation types of the category of subprojective representations of a finite poset over $$K[t]/(t^m)$$ and a solution of a Birkhoff type problem. Zbl 1123.16010
Simson, Daniel
2007
Localising embeddings of comodule categories with applications to tame and Euler coalgebras. Zbl 1136.16036
Simson, Daniel
2007
Hom-computable coalgebras, a composition factors matrix and the Euler bilinear form of an Euler coalgebra. Zbl 1131.16020
Simson, Daniel
2007
Flat comodules and perfect coalgebras. Zbl 1131.16018
2007
Path coalgebras of profinite bound quivers, cotensor coalgebras of bound species and locally nilpotent representations. Zbl 1142.16005
Simson, Daniel
2007
Representations of finite posets over discrete valuation rings. Zbl 1142.16003
Arnold, David M.; Simson, Daniel
2007
Hereditary stable tubes in module categories. Zbl 1164.16007
Simson, Daniel; Skowroński, Andrzej
2007
Minor degenerations of the full matrix algebra over a field. Zbl 1155.16009
Fujita, Hisaaki; Sakai, Yosuke; Simson, Daniel
2007
Elements of the representation theory of associative algebras. Vol. 1: Techniques of representation theory. Zbl 1092.16001
Assem, Ibrahim; Simson, Daniel; Skowroński, Andrzej
2006
Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras. Zbl 1171.16008
Simson, Daniel
2006
Representations of finite partially ordered sets over commutative Artinian uniserial rings. Zbl 1106.16016
Arnold, David M.; Simson, Daniel
2006
Hereditary coalgebras and representations of species. Zbl 1116.16038
Kosakowska, Justyna; Simson, Daniel
2005
On Corner type endo-wild algebras. Zbl 1151.16014
Simson, Daniel
2005
Endo-wild representation type and generic representations of finite posets. Zbl 1108.16010
Arnold, David M.; Simson, Daniel
2005
Path coalgebras of quivers with relations and a tame-wild dichotomy problem for coalgebras. Zbl 1072.16015
Simson, Daniel
2004
On large indecomposable modules, endo-wild representation type and right pure semisimple rings. Zbl 1067.16029
Simson, Daniel
2003
Locally Dynkin quivers and hereditary coalgebras whose left comodules are direct sums of finite dimensional comodules. Zbl 1005.16037
Nowak, Sebastian; Simson, Daniel
2002
Chain categories of modules and subprojective representations of posets over uniserial algebras. Zbl 1048.16006
Simson, Daniel
2002
Pure-periodic modules and a structure of pure-projective resolutions. Zbl 1056.16004
Simson, Daniel
2002
On coalgebras of tame comodule type. Zbl 1086.16525
Simson, Daniel
2002
Structure theorems for pure semisimple Grothendieck locally PI-categories. Zbl 1011.18006
García, Jos Luis; Simson, Daniel
2002
An endomorphism algebra realization problem and Kronecker embeddings for algebras of infinite representation type. Zbl 1017.16019
Simson, Daniel
2002
On local right pure semisimple rings of length two or three. Zbl 1069.16017
Simson, Daniel
2002
Coalgebras, comodules, pseudocompact algebras and tame comodule type. Zbl 1055.16038
Simson, Daniel
2001
On small right pure semisimple rings and the structure of their Auslander-Reiten quiver. Zbl 0997.16004
Simson, Daniel
2001
Indecomposable decompositions of pure-injective objects and the pure-semisimplicity. Zbl 1073.16011
Guil Asensio, Pedro A.; Simson, Daniel
2001
An Artin problem for division ring extensions and the pure semisimplicity conjecture. II. Zbl 0953.16012
Simson, Daniel
2000
Cohen-Macaulay modules over classical orders. Zbl 0994.16014
Simson, Daniel
2000
A reduced Tits quadratic form and tameness of three-partite subamalgams of tiled orders. Zbl 0953.16016
Simson, Daniel
2000
Posets of infinite prinjective type and embeddings of Kronecker modules into the category of prinjective peak $$I$$-spaces. Zbl 0953.16015
Kosakowska, Justyna; Simson, Daniel
2000
Rigid families and endomorphism algebras of Kronecker modules. Zbl 0934.16024
Göbel, Rüdiger; Simson, Daniel
1999
The Jacobson radical power series of module categories and the representation type. Zbl 0960.16012
Simson, Daniel; Skowroński, Andrzej
1999
Three-partite subamalgams of tiled orders of finite lattice type. Zbl 0928.16014
Simson, Daniel
1999
On the representation theory of Artinian rings and Artin’s problems on division ring extensions. Zbl 0988.16009
Simson, Daniel
1999
Tame three-partite subamalgams of tiled orders of polynomial growth. Zbl 0937.16020
Simson, Daniel
1999
Embeddings of Kronecker modules into the category of prinjective modules and the endomorphism ring problem. Zbl 0904.16007
Göbel, Rüdiger; Simson, Daniel
1998
On Tits form and prinjective representations of posets of finite prinjective type. Zbl 0907.16003
Kosakowska, Justyna; Simson, Daniel
1998
Dualities and pure semisimple rings. Zbl 0926.16004
Simson, Daniel
1998
Representation types, Tits reduced quadratic forms and orbit problems for lattices over orders. Zbl 0921.16007
Simson, Daniel
1998
Bipartite posets of finite prinjective type. Zbl 0921.16004
von Höhne, Hans-Joachim; Simson, Daniel
1998
Prinjective modules, propartite modules, representations of bocses and lattices over orders. Zbl 0937.16019
Simson, Daniel
1997
A class of potential counter-examples to the pure semisimplicity conjecture. Zbl 0936.16010
Simson, Daniel
1997
Tame prinjective type and Tits form of two-peak posets. II. Zbl 0944.16013
Kasjan, Stanisław; Simson, Daniel
1997
A subbimodule reduction, a peak reduction functor and tame prinjective type. Zbl 0959.16012
Kasjan, Stanisław; Simson, Daniel
1997
A peak reduction functor for socle projective representations. Zbl 0904.16008
Kasjan, Stanisław; Simson, Daniel
1997
On rings whose flat modules form a Grothendieck category. Zbl 0877.16003
Garcia, J. L.; Simson, D.
1997
An Artin problem for division ring extensions and the pure semisimplicity conjecture. I. Zbl 0873.16010
Simson, Daniel
1996
Socle projective representations of partially ordered sets and Tits quadratic forms with applications to lattices over orders. Zbl 0869.16008
Simson, Daniel
1996
Tame prinjective type and Tits form of two-peak posets. I. Zbl 0856.16007
Kasjan, Stanisław; Simson, Daniel
1996
...and 66 more Documents
all top 5

### Cited by 855 Authors

 74 Simson, Daniel 43 Skowroński, Andrzej 20 Assem, Ibrahim 16 Erdmann, Karin 16 Schiffler, Ralf 15 Iyama, Osamu 14 Nguyen Viet Dung 12 de la Peña, José Antonio 12 Göbel, Rüdiger 12 Kasjan, Stanisław 12 Malicki, Piotr 11 Bobiński, Grzegorz 11 Cerulli Irelli, Giovanni 11 García, José Luis 11 Huang, Zhaoyong 11 Kosakowska, Justyna 11 Trepode, Sonia Elisabet 10 Chaio, Claudia 10 Dowbor, Piotr 10 Li, Fang 10 Mróz, Andrzej 10 Szántó, Csaba 10 Yao, Hailou 9 Brüstle, Thomas 9 Okoh, Frank 9 Schmidmeier, Markus 9 Szöllősi, István 9 Zajac, Katarzyna 9 Zhang, Pu 9 Zito, Stephen 8 Coelho, Flávio Ulhoa 8 Huang, Hua-Lin 8 Kinser, Ryan 8 Lőrincz, András Cristian 8 Zhu, Bin 7 Arnold, David M. 7 Białkowski, Jerzy 7 Enomoto, Haruhisa 7 Gąsiorek, Marcin 7 Marcos, Eduardo N. 7 Pogorzały, Zygmunt 7 Reineke, Markus 7 Reiten, Idun 6 Boos, Magdalena 6 Chindris, Calin 6 Guil Asensio, Pedro A. 6 Iusenko, Kostiantyn 6 Jaworska, Alicja 6 Kyrychenko, Volodymyr Vasyl’ovych 6 Lanzilotta, Marcelo Américo 6 Marczinzik, René 6 Meltzer, Hagen 6 Prest, Mike 6 Rump, Wolfgang 6 Steinberg, Benjamin 6 Thomas, Hugh Ross 6 Torrecillas Jover, Blas 6 Wei, Jiaqun 6 Zhang, Xiaojin 5 Barannyk, Leonid F. 5 Baur, Karin 5 Bautista, Raymundo 5 Buan, Aslak Bakke 5 Castonguay, Diane 5 Crivei, Septimiu 5 Dugas, Manfred H. 5 Gao, Hanpeng 5 Iovanov, Miodrag-Cristian 5 Jiménez González, Jesús Arturo 5 Jørgensen, Peter Bjørn 5 Külshammer, Julian 5 Margolis, Stuart W. 5 Marsh, Bethany Rose 5 Mutzbauer, Otto 5 Nasr-Isfahani, Alireza R. 5 Navarro, Gabriel 5 Okniński, Jan 5 Sauter, Julia 5 Solak, Ebru 5 Yamaura, Kota 4 Alvares, Edson Ribeiro 4 Asadollahi, Javad J. 4 Bustamante, Juan Carlos 4 Chin, William 4 Deng, Bangming 4 Dräxler, Peter 4 Ebrahimi Atani, Shahabaddin 4 Fang, Xin 4 Feigin, Evgeny 4 Fourier, Ghislain 4 Fu, Changjian 4 Garcia Elsener, Ana 4 Giraldo, Hernán 4 Gubitosi, Viviana 4 Guo, Shuangjian 4 Hajduk, Adam 4 Herschend, Martin 4 Huang, Jia 4 Igusa, Kiyoshi 4 Le Meur, Patrick ...and 755 more Authors
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### Cited in 152 Serials

 205 Journal of Algebra 106 Journal of Pure and Applied Algebra 101 Communications in Algebra 67 Algebras and Representation Theory 47 Advances in Mathematics 36 Linear Algebra and its Applications 30 Journal of Algebra and its Applications 27 Colloquium Mathematicum 26 Transactions of the American Mathematical Society 24 Proceedings of the American Mathematical Society 23 Mathematische Zeitschrift 10 Archiv der Mathematik 10 Acta Mathematica Sinica. English Series 9 Glasgow Mathematical Journal 9 Frontiers of Mathematics in China 8 Nagoya Mathematical Journal 8 Journal of Algebraic Combinatorics 8 Science China. Mathematics 7 Israel Journal of Mathematics 7 Central European Journal of Mathematics 6 Discrete Applied Mathematics 6 Applied Categorical Structures 6 São Paulo Journal of Mathematical Sciences 5 Rocky Mountain Journal of Mathematics 5 Manuscripta Mathematica 5 Osaka Journal of Mathematics 5 Journal of Mathematical Sciences (New York) 5 Transformation Groups 5 Fundamenta Informaticae 5 Journal of High Energy Physics 5 Algebra and Discrete Mathematics 4 Communications in Mathematical Physics 4 Canadian Journal of Mathematics 4 Duke Mathematical Journal 4 Journal of the Mathematical Society of Japan 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Proceedings of the London Mathematical Society. Third Series 4 Chinese Annals of Mathematics. Series B 4 International Journal of Algebra and Computation 4 Selecta Mathematica. New Series 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Discrete Mathematics 3 Journal of Geometry and Physics 3 Bulletin of the London Mathematical Society 3 Czechoslovak Mathematical Journal 3 Journal of Soviet Mathematics 3 Memoirs of the American Mathematical Society 3 Rendiconti del Seminario Matematico della Università di Padova 3 Bulletin of the Iranian Mathematical Society 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Documenta Mathematica 3 Journal of Commutative Algebra 3 Acta Universitatis Sapientiae. Mathematica 3 Algebraic Combinatorics 2 Indian Journal of Pure & Applied Mathematics 2 Nuclear Physics. B 2 Ukrainian Mathematical Journal 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Annals of Pure and Applied Logic 2 Science in China. Series A 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Algebra Colloquium 2 Journal of Lie Theory 2 Representation Theory 2 Taiwanese Journal of Mathematics 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Journal of the Australian Mathematical Society 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 JP Journal of Algebra, Number Theory and Applications 2 Kyoto Journal of Mathematics 2 Journal of Applied and Computational Topology 1 Bulletin of the Australian Mathematical Society 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Algebra Universalis 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics ...and 52 more Serials
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### Cited in 36 Fields

 903 Associative rings and algebras (16-XX) 261 Category theory; homological algebra (18-XX) 118 Commutative algebra (13-XX) 103 Algebraic geometry (14-XX) 95 Group theory and generalizations (20-XX) 91 Combinatorics (05-XX) 74 Nonassociative rings and algebras (17-XX) 70 Linear and multilinear algebra; matrix theory (15-XX) 49 Order, lattices, ordered algebraic structures (06-XX) 24 Computer science (68-XX) 21 Mathematical logic and foundations (03-XX) 19 Algebraic topology (55-XX) 16 Quantum theory (81-XX) 14 Number theory (11-XX) 11 $$K$$-theory (19-XX) 9 Operator theory (47-XX) 8 Differential geometry (53-XX) 6 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Topological groups, Lie groups (22-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Field theory and polynomials (12-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

format: plain


text:
# Leetcode 706 - Design HashMap

Note:

• Very similar to Leetcode705, use mod to find the index, but this time it contains pairs like [key, value].

Question:

Design a HashMap without using any built-in hash table libraries.

Implement the MyHashMap class:

• MyHashMap() initializes the object with an empty map.
• void put(int key, int value) inserts a (key, value) pair into the HashMap. If the key already exists in the map, update the corresponding value.
• int get(int key) returns the value to which the specified key is mapped, or -1 if this map contains no mapping for the key.
• void remove(key) removes the key and its corresponding value if the map contains the mapping for the key.

Example:

Code:


text:
# zbMATH — the first resource for mathematics

## Chen, Yuming

Compute Distance To:
 Author ID: chen.yuming Published as: Chen, Yuming; Chen, Y. M.; Chen, Y.; Chen, Yu Ming; Chen, Yu-Ming; Chen, Y.-M.; Chen, Yu-ming; Chen, YuMing; Chen, Y.-m.; Chen, Y-M.; Chen, Yu.
 Documents Indexed: 294 Publications since 1965 Reviewing Activity: 126 Reviews
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#### Co-Authors

 32 single-authored 23 Wu, Jianhong 11 Yang, Junyuan 8 Zhang, Fengqin 7 Wang, Xia 7 Yi, Taishan 6 Dai, Binxiang 5 Chen, Guijing 5 Guo, Zhiming 5 Huang, Lihong 5 Liao, Xinyuan 5 Zhou, Zhan 4 Guo, Shangjiang 4 Liu, Shengqiang 4 Wang, Jinliang 4 Yang, Qigui 4 Yin, Zongbin 4 Zhou, Shengfan 4 Zou, Shuliang 3 Chen, Fengde 3 Fiebig, Martin 3 Li, Jianquan 3 Liu, Hanwu 3 McKenna, Patrick Joseph 3 Mitra, Nimai Kumar 3 Shu, Hongying 3 Yu, Jian-She 2 Bai, Dingyong 2 Bai, Zhi-Dong 2 Chen, Jiahua 2 Demoulin, Yves-Marie J. 2 Hu, Feifang 2 Huang, Chuangxia 2 Jin, Zhen 2 Kosovalić, Nemanja 2 Kuniya, Toshikazu 2 Lang, Jiying 2 Liang, Haihua 2 Liu, Rong 2 Lu, Xuejuan 2 Martcheva, Maia 2 Pan, Xuejun 2 Surmont, J. 2 Tang, De 2 Tsien, D. S. 2 Wang, Lin 2 Wang, Qi 2 Wu, Keshou 2 Xiao, Heng 2 Yang, Zhichun 1 Alaly, J. R. 1 Alonso-Ruiz, Patricia 1 Anderson, David V. 1 Aziz, T. Z. 1 Bebendorf, Mario 1 Bentout, Soufiane 1 Bigoni, Daniele 1 Birmingham, Danny 1 Branquinho, Amílcar José Pinto Lopes 1 Cai, Qingdong 1 Carlip, Steven 1 Cen, Xiuli 1 Chan, Lingyau 1 Chen, Dezhu 1 Chen, Xu-Yan 1 Chen, Zhijing 1 Christiansen, Peter Leth 1 Clark, V. H. 1 Clausen, Arild H. 1 Deasy, J. O. 1 Deshpande, Vikram S. 1 Dharmasena, K. P. 1 Ding, Qian 1 Djilali, Salih 1 Duan, Lian 1 Dudt, P. 1 Evans, Anthony G. 1 Fang, Hui 1 Filipuk, Galina V. 1 Forrest, Jeffrey Yi-Lin 1 Garsia, Adriano M. 1 Ge, Qing 1 Gosz, J. 1 Grieger, Ingolf 1 Groll, Manfred 1 Guo, Hongpeng 1 Guo, Yao 1 Guo, Zhongheng 1 Hatcher, Robert P. 1 Haus, Hermann A. 1 He, Guoqiang 1 He, Shengnan 1 Hopperstad, Odd Sture 1 Hu, Qingwen 1 Huang, Ruoyun 1 Huang, Ying Sue 1 Jaekel, Arunita 1 Jaiman, Rajeev Kumar 1 Jiao, Na 1 Jing, Jianping 1 Koniges, Alice E. ...and 84 more Co-Authors
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#### Serials

 11 Journal of Differential Equations 9 Applied Mathematics and Computation 8 Journal of Computational Physics 8 Journal of Mathematical Analysis and Applications 7 Applied Mathematics Letters 7 Mathematical and Computer Modelling 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Mathematical Biosciences and Engineering 5 International Journal of Solids and Structures 5 Mathematical Methods in the Applied Sciences 5 Discrete and Continuous Dynamical Systems. Series B 5 Journal of Biological Dynamics 4 Acta Mechanica 4 Computers & Mathematics with Applications 4 International Journal of Heat and Mass Transfer 4 Physics Letters. A 4 Applied Mathematics and Mechanics. (English Edition) 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 4 Differential Equations and Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 3 Computers and Structures 3 Mathematics and Computers in Simulation 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Scientific and Statistical Computing 3 Computational Mechanics 3 SIAM Journal on Applied Mathematics 3 Mathematical Problems in Engineering 3 Nonlinear Analysis. Real World Applications 2 Journal of Mathematical Physics 2 Journal of Sound and Vibration 2 Mathematical Biosciences 2 Mechanics Research Communications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chinese Annals of Mathematics. Series A 2 Journal of Computational Mathematics 2 Archive of Applied Mechanics 2 The Canadian Applied Mathematics Quarterly 2 Complexity 2 Journal of Vibration and Control 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Mechanism and Machine Theory 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Acta Mathematica Scientia. Series A. (Chinese Edition) 2 Control and Decision 2 Advances in Difference Equations 2 Science China. Mathematics 1 Modern Physics Letters A 1 Modern Physics Letters B 1 International Journal of Modern Physics B 1 AIAA Journal 1 Classical and Quantum Gravity 1 Computer Physics Communications 1 IMA Journal of Applied Mathematics 1 International Journal of Mechanical Sciences 1 International Journal of Multiphase Flow 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Applied Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nonlinearity 1 Studia Mathematica 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Journal of Guidance, Control and Dynamics 1 Annales de la Faculté des Sciences. Section Mathématique-Physique 1 Applied Mathematics and Optimization 1 Computing 1 Indian Journal of Mathematics 1 International Journal for Numerical Methods in Engineering 1 Journal of Computational and Applied Mathematics 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Slovaca 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Tensor. New Series 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Journal of Nanjing University. Natural Sciences 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 International Journal of Production Research 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Northeastern Mathematical Journal 1 Computers & Operations Research 1 Journal of Robotic Systems 1 SIAM Journal on Matrix Analysis and Applications ...and 49 more Serials
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#### Fields

 95 Ordinary differential equations (34-XX) 89 Biology and other natural sciences (92-XX) 56 Partial differential equations (35-XX) 42 Mechanics of deformable solids (74-XX) 41 Numerical analysis (65-XX) 29 Dynamical systems and ergodic theory (37-XX) 20 Fluid mechanics (76-XX) 15 Difference and functional equations (39-XX) 13 Computer science (68-XX) 12 Mechanics of particles and systems (70-XX) 9 Systems theory; control (93-XX) 8 Integral equations (45-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Operations research, mathematical programming (90-XX) 7 Operator theory (47-XX) 7 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Geophysics (86-XX) 5 Optics, electromagnetic theory (78-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Combinatorics (05-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

201 Publications have been cited 1,750 times in 1,014 Documents Cited by Year
The existence of mild solutions for impulsive fractional partial differential equations. Zbl 1227.34009
Shu, Xiao-Bao; Lai, Yongzeng; Chen, Yuming
2011
Homoclinic solutions in periodic difference equations with saturable nonlinearity. Zbl 1239.39010
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2011
Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations. Zbl 0879.35113
Chen, Y.; McKenna, P. J.
1997
Stable periodic solution of a discrete periodic Lotka-Volterra competition system. Zbl 1019.39004
Chen, Yuming; Zhou, Zhan
2003
Multiple periodic solutions of delayed predator–prey systems with type IV functional responses. Zbl 1066.92050
Chen, Yuming
2004
Periodic solutions of a single species discrete population model with periodic harvest/stock. Zbl 0970.92019
Zhang, R. Y.; Wang, Z. C.; Chen, Y.; Wu, J.
2000
Two-parameter bifurcations in a network of two neurons with multiple delays. Zbl 1136.34058
Guo, Shangjiang; Chen, Yuming; Wu, Jianhong
2008
Multiresolution reproducing kernel particle methods. Zbl 0893.73078
Liu, W. K.; Hao, W.; Chen, Y.; Jun, S.; Gosz, J.
1997
Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response. Zbl 1171.34341
Wang, Qi; Dai, Binxiang; Chen, Yuming
2009
Global asymptotic stability of delayed Cohen-Grossberg neural networks. Zbl 1374.82019
Chen, Yuming
2006
On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity. Zbl 1193.35176
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
Slowly oscillating periodic solutions for a delayed frustrated network of two neurons. Zbl 0998.34058
Chen, Yuming; Wu, Jianhong
2001
Minimal instability and unstable set of a phase-locked periodic orbit in a delayed neural network. Zbl 0942.34062
Chen, Y.; Wu, J.
1999
Periodic solutions of a delayed, periodic logistic equation. Zbl 1118.34327
Chen, Yuming
2003
Unimodal dynamical systems: comparison principles, spreading speeds and travelling waves. Zbl 1308.35126
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2013
Permanence and global stability in a discrete $$n$$-species competition system with feedback controls. Zbl 1154.34352
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2008
Periodic solutions of delayed periodic Nicholson’s blowflies models. Zbl 1093.34554
Chen, Y.
2003
Global analysis of an SIR epidemic model with infection age and saturated incidence. Zbl 1365.92117
Chen, Yuming; Zou, Shaofen; Yang, Junyuan
2016
Existence and attraction of a phase-locked oscillation in a delayed network of two neurons. Zbl 1023.34065
Chen, Yuming; Wu, Jianhong
2001
Convergence and periodicity of solutions for a discrete-time network model of two neurons. Zbl 1045.92002
Yuan, Zhaohui; Huang, Lihong; Chen, Yuming
2002
A study of homotopy analysis method for limit cycle of van der Pol equation. Zbl 1221.65198
Chen, Y. M.; Liu, J. K.
2009
Algorithms for plethysm. Zbl 0556.20013
Chen, Y. M.; Garsia, A. M.; Remmel, J.
1984
Global dynamics of delayed reaction-diffusion equations in unbounded domains. Zbl 1258.35122
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2012
Connecting orbits from synchronous periodic solutions to phase-locked periodic solutions in a delay differential system. Zbl 0955.34058
Chen, Yuming; Wu, Jianhong; Krisztin, Tibor
2000
Dynamics of a hyperchaotic Lorenz-type system. Zbl 1314.37021
Chen, Yuming; Yang, Qigui
2014
A delayed HIV-1 model with virus waning term. Zbl 1329.34129
Li, Bing; Chen, Yuming; Lu, Xuejuan; Liu, Shengqiang
2016
An edge dislocation in a three-phase composite cylinder model. Zbl 0756.73059
Luo, H. A.; Chen, Y.
1991
Complex dynamics in the unified Lorenz-type system. Zbl 1296.34117
Yang, Qigui; Chen, Yuming
2014
The global stability of an SIRS model with infection age. Zbl 1298.92096
Chen, Yuming; Yang, Junyuan; Zhang, Fengqin
2014
All solutions of a class of difference equations are truncated periodic. Zbl 1029.39003
Chen, Yuming
2002
The asymptotic shapes of periodic solutions of a singular delay differential system. Zbl 0976.34060
Chen, Yuming; Wu, Jianhong
2001
A new method based on the harmonic balance method for nonlinear oscillators. Zbl 1209.37100
Chen, Y. M.; Liu, J. K.
2007
Stability of the boundary solution of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. Zbl 1147.34038
Chen, Fengde; Chen, Yuming; Shi, Jinlin
2008
Periodic solutions of a $$2n$$th-order nonlinear difference equation. Zbl 1232.39019
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
Abstract algebraic-delay differential systems and age structured population dynamics. Zbl 1291.34124
Kosovalić, N.; Magpantay, Felicia Maria G.; Chen, Y.; Wu, Jianhong
2013
Homotopy analysis method for limit cycle flutter of airfoils. Zbl 1262.74015
Chen, Y. M.; Liu, J. K.
2008
New results on positive periodic solutions of a periodic integro-differential competition system. Zbl 1051.45004
Chen, Y.
2004
Dynamics of a delayed predator-prey model with predator migration. Zbl 1351.34082
Chen, Yuming; Zhang, Fengqin
2013
Impacts of the cell-free and cell-to-cell infection modes on viral dynamics. Zbl 1401.37097
Shu, Hongying; Chen, Yuming; Wang, Lin
2018
Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition. Zbl 1342.92214
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2009
Threshold dynamics of an SIRS model with nonlinear incidence rate and transfer from infectious to susceptible. Zbl 1370.92165
Li, Ting; Zhang, Fengqin; Liu, Hanwu; Chen, Yuming
2017
Three positive solutions for a generalized Laplacian boundary value problem with a parameter. Zbl 06447284
Bai, Dingyong; Chen, Yuming
2013
Algebraic-delay differential systems: $$C^0$$-extendable submanifolds and linearization. Zbl 1362.34098
Kosovalić, N.; Chen, Y.; Wu, J.
2017
Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system. Zbl 1219.34103
Ouyang, Zigen; Chen, Yuming; Zou, Shuliang
2011
Shi, Z. F.; Chen, Y.
2004
On permanence and global stability in a general Gilpin-Ayala competition predator-prey discrete system. Zbl 1125.39008
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2007
Dynamic complexities of a predator-prey model with generalized Holling type III functional response and impulsive effects. Zbl 1152.34309
Su, Hua; Dai, Binxiang; Chen, Yuming; Li, Kaiwang
2008
Stability analysis and optimal control of a hand-foot-mouth disease (HFMD) model. Zbl 1300.34118
Yang, Jun-Yuan; Chen, Yuming; Zhang, Feng-Qin
2013
New SDP models for protein homology detection with semi-supervised SVM. Zbl 1273.90143
Bai, Y. Q.; Niu, B. L.; Chen, Y.
2013
Effect of infection age on an SIS epidemic model on complex networks. Zbl 1356.35268
Yang, Junyuan; Chen, Yuming; Xu, Fei
2016
An iterative algorithm for solving inverse problems of two-dimensional diffusion equations. Zbl 0565.65074
Liu, J. Q.; Chen, Y. M.
1984
A numerical algorithm for remote sensing of density profiles of a simple ocean model by acoustic pulses. Zbl 0365.76079
Chen, Y. M.; Tsien, D. S.
1977
Desynchronization of large scale delayed neural networks. Zbl 0945.34056
Chen, Yuming; Huang, Ying Sue; Wu, Jianhong
2000
Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting. Zbl 1207.92047
Liao, Xinyuan; Chen, Yuming; Zhou, Shengfan
2011
Vibrations of high speed rotating shells with calculations for cylindrical shells. Zbl 0939.74552
Chen, Y.; Zhao, H. B.; Shen, Z. P.; Grieger, I.; Kröplin, B.-H.
1993
Eventual periodicity of $$x_{n+1}=\max \{1/x_n,A_n/x_{n-1}\}$$ with periodic coefficients. Zbl 1086.39003
Chen, Y.
2005
Permanence for a discrete time Lotka-Volterra type food-chain model with delays. Zbl 1120.92046
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2007
Analysis of sexually transmitted disease spreading in heterosexual and homosexual populations. Zbl 1262.92025
Zhang, Juping; Jin, Zhen; Chen, Yuming
2013
Global exponential stability of periodic solutions to a delay Lasota-Wazewska model with discontinuous harvesting. Zbl 1336.34114
Duan, Lian; Huang, Lihong; Chen, Yuming
2016
A modified pulse-spectrum technique for solving inverse problems of two- dimensional elastic wave equation. Zbl 0566.65092
Xie, G. Q.; Chen, Y. M.
1985
Travelling waves in a nonlinearly suspended beam: Some computational results and four open questions. Zbl 0895.35100
Chen, Y.; McKenna, P. J.
1997
A numerical algorithm for solving inverse problems of two-dimensional wave equations. Zbl 0515.65088
Chen, Y. M.; Liu, J. Q.
1983
Penetration of temperature waves in a random medium. Zbl 0164.29701
Chen, Y. M.; Tien, C. L.
1967
Dynamic solution of a multilayered orthotropic piezoelectric hollow cylinder for axisymmetric plane strain problems. Zbl 1093.74524
Wang, H. M.; Ding, H. J.; Chen, Y. M.
2005
Uniformly valid solution of limit cycle of the Duffing-van der Pol equation. Zbl 1273.70036
Chen, Y. M.; Liu, J. K.
2009
The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions. Zbl 1298.34011
Chen, Y.; Chen, Dezhu; Lv, Z.
2012
An iterative method for simultaneous determination of bulk and shear moduli and density variations. Zbl 0574.73035
Chen, Y. M.; Xie, G. Q.
1986
A numerical method for nonlinear inverse problems in fluid dynamics. Zbl 0309.76059
Tsien, D. S.; Chen, Y. M.
1974
A numerical algorithm for remote sensing of thermal conductivity. Zbl 0469.65086
Chen, Y. M.; Liu, J. Q.
1981
Existence and global attractivity of a positive periodic solution of a delayed periodic respiration model. Zbl 1100.34055
Chen, Y.; Huang, L.
2005
Global dynamics of a Lotka-Volterra competition-diffusion system in advective homogeneous environments. Zbl 1445.35201
Tang, De; Chen, Yuming
2020
The nonequivalence and dimension formula for attractors of Lorenz-type systems. Zbl 1284.34058
Chen, Yuming; Yang, Qigui
2013
Stress analysis of multi-layered hollow anisotropic composite cylindrical structures using the homogenization method. Zbl 1401.74010
Sun, X. S.; Tan, V. B. C.; Chen, Y.; Tan, L. B.; Jaiman, R. K.; Tay, T. E.
2014
Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theory. Zbl 1334.34154
Guo, Shang Jiang; Chen, Yu Ming; Wu, Jian Hong
2012
Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Zbl 1277.91035
Chen, Y.; Li, B.
2011
SDP relaxation for semi-supervised support vector machine. Zbl 1263.90051
Bai, Y. Q.; Chen, Y.; Niu, B. L.
2012
The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system. Zbl 1384.37027
Chen, Yuming
2017
A generalized pulse-spectrum technique (GPST) for determining time- dependent coefficients of one-dimensional diffusion equations. Zbl 0618.65122
Liu, X. Y.; Chen, Y. M.
1987
An iterative numerical algorithm for solving multi-parameter inverse problems of evolutional partial differential equations. Zbl 0531.65068
Chen, Y. M.; Liu, J. Q.
1984
An almost everywhere divergent Fourier series of the class $$L(\log^ + \log^ + L)^{1-\epsilon}$$. Zbl 0169.39703
Chen, Y. M.
1969
Mobile assemblies based on the Bennett linkage. Zbl 1145.70302
Chen, Y.; You, Z.
2005
Positive periodic solutions of nonautonomous functional differential systems. Zbl 1125.34052
Zhang, Na; Dai, Binxiang; Chen, Yuming
2007
Controlling decoherence from fluctuating magnetic field. Zbl 1184.81087
Chen, Z. Q.; Guo, L. P.; Chen, Y.; Li, X. L.; Liu, G. Q.; Ji, Y. H.; Wang, Z. S.
2010
Second-order differentiability with respect to parameters for differential equations with adaptive delays. Zbl 1201.34096
Chen, Yuming; Hu, Qingwen; Wu, Jianhong
2010
Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters. Zbl 1236.74071
Chen, Y. M.; Liu, J. K.; Meng, G.
2012
An SIRS model with differential susceptibility and infectivity on uncorrelated networks. Zbl 1318.34066
Liu, Maoxing; Chen, Yuming
2015
Study on monostable and bistable reaction-diffusion equations by iteration of travelling wave maps. Zbl 06782915
Yi, Taishan; Chen, Yuming
2017
Dynamical analysis of a stage-structured predator-prey model with cannibalism. Zbl 1409.92217
Zhang, Fengqin; Chen, Yuming; Li, Jianquan
2019
The Jacobi stability of a Lorenz-type multistable hyperchaotic system with a curve of equilibria. Zbl 1419.34138
Chen, Yuming; Yin, Zongbin
2019
Two-parameter thermal lattice BGK model with a controllable Prandtl number. Zbl 0903.76078
Chen, Y.; Ohashi, H.; Akiyama, M.
1997
Prandtl number of lattice Bhatnagar-Gross-Krook fluid. Zbl 1025.76544
Chen, Y.; Ohashi, H.; Akiyama, M.
1995
A prior bounds and stability of solutions for a Volterra reaction-diffusion equation with infinite delay. Zbl 0981.35095
Shi, B.; Chen, Y.
2001
Hierarchical multigrid strategy for efficiency improvement of the GPST inversion algorithm. Zbl 0707.65085
Chen, Y. M.; Zhang, F. G.
1990
An iterative method for solving inverse problems of a nonlinear wave equation. Zbl 0513.65070
Hatcher, Robert P.; Chen, Y. M.
1983
Global attractivity of a generalized Lotka-Volterra competition model. Zbl 1216.34082
Chen, Fengde; Chen, Yuming; Guo, Shangjiang; Li, Zhong
2010
An efficient numerical method for exterior and interior inverse problems of Helmholtz equation. Zbl 0825.76732
Wang, S. L.; Chen, Y. M.
1991
Thermoelastic dynamic solution of a multilayered spherically isotropic hollow sphere for spherically symmetric problems. Zbl 1066.74029
Wang, H. M.; Ding, H. J.; Chen, Y. M.
2004
Periodic solutions and the global attractor in a system of delay differential equations. Zbl 1229.34110
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2010
Threshold dynamics of a vector-borne disease model with spatial structure and vector-bias. Zbl 1431.35214
Wang, Jinliang; Chen, Yuming
2020
Homotopy analysis method for limit cycle oscillations of an airfoil with cubic nonlinearities. Zbl 1269.70039
Chen, Y. M.; Liu, J. K.
2010
Global dynamics of a Lotka-Volterra competition-diffusion system in advective homogeneous environments. Zbl 1445.35201
Tang, De; Chen, Yuming
2020
Threshold dynamics of a vector-borne disease model with spatial structure and vector-bias. Zbl 1431.35214
Wang, Jinliang; Chen, Yuming
2020
Asymptotic propagations of asymptotical monostable type equations with shifting habitats. Zbl 1448.35308
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2020
Threshold dynamics of an HIV infection model with two distinct cell subsets. Zbl 1437.92143
Wang, Xia; Ge, Qing; Chen, Yuming
2020
Data-driven forward discretizations for Bayesian inversion. Zbl 1450.62136
Bigoni, D.; Chen, Y.; Trillos, N. Garcia; Marzouk, Y.; Sanz-Alonso, D.
2020
Dynamical analysis of a stage-structured predator-prey model with cannibalism. Zbl 1409.92217
Zhang, Fengqin; Chen, Yuming; Li, Jianquan
2019
The Jacobi stability of a Lorenz-type multistable hyperchaotic system with a curve of equilibria. Zbl 1419.34138
Chen, Yuming; Yin, Zongbin
2019
Rich dynamics in a delayed HTLV-I infection model: stability switch, multiple stable cycles, and torus. Zbl 1423.34096
Pan, Xuejun; Chen, Yuming; Shu, Hongying
2019
Domain decomposition methods for a class of spatially heterogeneous delayed reaction-diffusion equations. Zbl 1406.35455
Yi, Taishan; Chen, Yuming
2019
Backward bifurcation in a stage-structured epidemic model. Zbl 1407.92135
Zhang, Fengqin; Zhao, Tian; Liu, Hanwu; Chen, Yuming
2019
Global dynamics of an epidemic model with relapse and nonlinear incidence. Zbl 1414.34032
Chen, Yuming; Li, Jianquan; Zou, Shaofen
2019
Dynamics of operator-weighted shifts. Zbl 1419.47003
Yin, Zongbin; Chen, Yuming; Xiang, Qiaomin
2019
Spatial and temporal dynamics of a viral infection model with two nonlocal effects. Zbl 1420.92114
Wang, Xiaoyan; Chen, Yuming; Yang, Junyuan
2019
Impacts of the cell-free and cell-to-cell infection modes on viral dynamics. Zbl 1401.37097
Shu, Hongying; Chen, Yuming; Wang, Lin
2018
Dynamics of an age-structured host-vector model for malaria transmission. Zbl 1392.35321
Wang, Xia; Chen, Yuming; Liu, Shengqiang
2018
Global dynamics of a vector-borne disease model with infection ages and general incidence rates. Zbl 1404.35463
Wang, Xia; Chen, Yuming; Liu, Shengqiang
2018
Dynamics of a Lorenz-type multistable hyperchaotic system. Zbl 1402.34042
Chen, Yu-Ming
2018
Dynamical analysis and optimal harvesting of a stochastic three-species cooperative system with delays and Lévy jumps. Zbl 1448.92247
Shao, Yuanfu; Chen, Yuming; Dai, Binxiang
2018
Disjoint hypercyclicity and topological entropy of composition operators. Zbl 1390.37012
Yin, Zongbin; Chen, Yuming; He, Shengnan
2018
Evaluation of the tuberculosis transmission of drug-resistant strains in mainland China. Zbl 1415.92200
Yang, Junyuan; Kuniya, Toshikazu; Xu, Fei; Chen, Yuming
2018
Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate. Zbl 1447.92496
Yang, Junyuan; Chen, Yuming
2018
Threshold dynamics of an SIRS model with nonlinear incidence rate and transfer from infectious to susceptible. Zbl 1370.92165
Li, Ting; Zhang, Fengqin; Liu, Hanwu; Chen, Yuming
2017
Algebraic-delay differential systems: $$C^0$$-extendable submanifolds and linearization. Zbl 1362.34098
Kosovalić, N.; Chen, Y.; Wu, J.
2017
The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system. Zbl 1384.37027
Chen, Yuming
2017
Study on monostable and bistable reaction-diffusion equations by iteration of travelling wave maps. Zbl 06782915
Yi, Taishan; Chen, Yuming
2017
Optimal harvesting in a periodic food chain model with size structures in predators. Zbl 1380.49057
Zhang, Feng-Qin; Liu, Rong; Chen, Yuming
2017
An analytical criterion for jump phenomena in fractional Duffing oscillators. Zbl 1372.34104
Liu, Q. X.; Liu, J. K.; Chen, Y. M.
2017
Hybrid sensitivity matrix for damage identification in axially functionally graded beams. Zbl 1443.74081
Lu, Z. R.; Lin, X. X.; Chen, Y. M.; Huang, M.
2017
Threshold dynamics of an age-structured epidemic model with relapse and nonlinear incidence. Zbl 1404.92209
Yang, Junyuan; Chen, Yuming; Kuniya, Toshikazu
2017
Zero-zero-Hopf bifurcation and ultimate bound estimation of a generalized Lorenz-Stenflo hyperchaotic system. Zbl 1371.34054
Chen, Yu-Ming; Liang, Hai-Hua
2017
Instability in time-delayed switched systems induced by fast and random switching. Zbl 1365.34137
Guo, Yao; Lin, Wei; Chen, Yuming; Wu, Jianhong
2017
Amplitude death induced by fractional derivatives in nonlinear coupled oscillators. Zbl 07257656
Liu, Q. X.; Liu, J. K.; Chen, Y. M.
2017
Global analysis of an SIR epidemic model with infection age and saturated incidence. Zbl 1365.92117
Chen, Yuming; Zou, Shaofen; Yang, Junyuan
2016
A delayed HIV-1 model with virus waning term. Zbl 1329.34129
Li, Bing; Chen, Yuming; Lu, Xuejuan; Liu, Shengqiang
2016
Effect of infection age on an SIS epidemic model on complex networks. Zbl 1356.35268
Yang, Junyuan; Chen, Yuming; Xu, Fei
2016
Global exponential stability of periodic solutions to a delay Lasota-Wazewska model with discontinuous harvesting. Zbl 1336.34114
Duan, Lian; Huang, Lihong; Chen, Yuming
2016
Optimal contraception control for a nonlinear population model with size structure and a separable mortality. Zbl 1354.49087
Liu, Rong; Zhang, Feng-Qin; Chen, Yuming
2016
Global stability of an SEI model for plant diseases. Zbl 1389.34131
Chen, Yuming; Yang, Junyuan
2016
A joint replenishment problem considering multiple trucks with shipment and resource constraints. Zbl 1349.90078
Chen, Y.; Wahab, M. I. M.; Ongkunaruk, P.
2016
Stability analysis of a two-strain epidemic model on complex networks with latency. Zbl 1350.92058
Yang, Junyuan; Chen, Yuming; Liu, Jiming
2016
Asymptotic limit cycle of fractional van der Pol oscillator by homotopy analysis method and memory-free principle. Zbl 1452.34071
Liu, Q. X.; Liu, J. K.; Chen, Y. M.
2016
An SIRS model with differential susceptibility and infectivity on uncorrelated networks. Zbl 1318.34066
Liu, Maoxing; Chen, Yuming
2015
Global asymptotic stability of a compartmental model for a pandemic. Zbl 1330.34076
Lamichhane, Surya; Chen, Yuming
2015
A new Lorenz-type hyperchaotic system with a curve of equilibria. Zbl 07313365
Chen, Yuming; Yang, Qigui
2015
Dynamics of a hyperchaotic Lorenz-type system. Zbl 1314.37021
Chen, Yuming; Yang, Qigui
2014
Complex dynamics in the unified Lorenz-type system. Zbl 1296.34117
Yang, Qigui; Chen, Yuming
2014
The global stability of an SIRS model with infection age. Zbl 1298.92096
Chen, Yuming; Yang, Junyuan; Zhang, Fengqin
2014
Stress analysis of multi-layered hollow anisotropic composite cylindrical structures using the homogenization method. Zbl 1401.74010
Sun, X. S.; Tan, V. B. C.; Chen, Y.; Tan, L. B.; Jaiman, R. K.; Tay, T. E.
2014
Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions. Zbl 1291.34059
Zhang, Dan; Dai, Binxiang; Chen, Yuming
2014
Unimodal dynamical systems: comparison principles, spreading speeds and travelling waves. Zbl 1308.35126
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2013
Abstract algebraic-delay differential systems and age structured population dynamics. Zbl 1291.34124
Kosovalić, N.; Magpantay, Felicia Maria G.; Chen, Y.; Wu, Jianhong
2013
Dynamics of a delayed predator-prey model with predator migration. Zbl 1351.34082
Chen, Yuming; Zhang, Fengqin
2013
Three positive solutions for a generalized Laplacian boundary value problem with a parameter. Zbl 06447284
Bai, Dingyong; Chen, Yuming
2013
Stability analysis and optimal control of a hand-foot-mouth disease (HFMD) model. Zbl 1300.34118
Yang, Jun-Yuan; Chen, Yuming; Zhang, Feng-Qin
2013
New SDP models for protein homology detection with semi-supervised SVM. Zbl 1273.90143
Bai, Y. Q.; Niu, B. L.; Chen, Y.
2013
Analysis of sexually transmitted disease spreading in heterosexual and homosexual populations. Zbl 1262.92025
Zhang, Juping; Jin, Zhen; Chen, Yuming
2013
The nonequivalence and dimension formula for attractors of Lorenz-type systems. Zbl 1284.34058
Chen, Yuming; Yang, Qigui
2013
Dynamics of delay differential equations with their applications. Zbl 1298.00143
Huang, Chuangxia; Guo, Zhiming; Yang, Zhichun; Chen, Yuming
2013
FDE: a logic of clutters. Zbl 1261.03033
Jennings, R. E.; Chen, Y.
2013
Global dynamics of delayed reaction-diffusion equations in unbounded domains. Zbl 1258.35122
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2012
The existence results for a coupled system of nonlinear fractional differential equations with multi-point boundary conditions. Zbl 1298.34011
Chen, Y.; Chen, Dezhu; Lv, Z.
2012
Equivariant normal forms for parameterized delay differential equations with applications to bifurcation theory. Zbl 1334.34154
Guo, Shang Jiang; Chen, Yu Ming; Wu, Jian Hong
2012
SDP relaxation for semi-supervised support vector machine. Zbl 1263.90051
Bai, Y. Q.; Chen, Y.; Niu, B. L.
2012
Incremental harmonic balance method for nonlinear flutter of an airfoil with uncertain-but-bounded parameters. Zbl 1236.74071
Chen, Y. M.; Liu, J. K.; Meng, G.
2012
Equivalent linearization method for the flutter system of an airfoil with multiple nonlinearities. Zbl 1426.74125
Chen, F. X.; Chen, Y. M.; Liu, J. K.
2012
Bifurcation analysis of aeroelastic systems with hysteresis by incremental harmonic balance method. Zbl 1308.74042
Liu, J. K.; Chen, F. X.; Chen, Y. M.
2012
Delay for the capacity-simplicity dilemma in associative memory attractor networks. Zbl 1245.93117
Zou, Shaofen; Chen, Yuming; Ma, Jianfu; Wu, Jianhong
2012
Threshold dynamics of scalar linear periodic delay-differential equations. Zbl 1264.34139
Chen, Yuming; Wu, Jianhong
2012
The existence of mild solutions for impulsive fractional partial differential equations. Zbl 1227.34009
Shu, Xiao-Bao; Lai, Yongzeng; Chen, Yuming
2011
Homoclinic solutions in periodic difference equations with saturable nonlinearity. Zbl 1239.39010
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2011
Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system. Zbl 1219.34103
Ouyang, Zigen; Chen, Yuming; Zou, Shuliang
2011
Traveling wavefronts of a prey-predator diffusion system with stage-structure and harvesting. Zbl 1207.92047
Liao, Xinyuan; Chen, Yuming; Zhou, Shengfan
2011
Dynamic multi-attribute decision making model based on triangular intuitionistic fuzzy numbers. Zbl 1277.91035
Chen, Y.; Li, B.
2011
Homotopy analysis method for nonlinear dynamical system of an electrostatically actuated microcantilever. Zbl 1204.65097
Chen, Y. M.; Meng, G.; Liu, J. K.; Jing, J. P.
2011
A spatial $$6R$$ linkage derived from subtractive Goldberg 5R linkages. Zbl 1385.70025
Song, C. Y.; Chen, Y.
2011
A new method for Fourier series expansions: applications in rotor-seal systems. Zbl 1272.70106
Chen, Y. M.; Meng, G.; Liu, J. K.
2011
On a new idiom in the study of entailment. Zbl 1272.03105
Jennings, R. E.; Chen, Y.; Sahasrabudhe, J.
2011
On the existence of gap solitons in a periodic discrete nonlinear Schrödinger equation with saturable nonlinearity. Zbl 1193.35176
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
Periodic solutions of a $$2n$$th-order nonlinear difference equation. Zbl 1232.39019
Zhou, Zhan; Yu, Jianshe; Chen, Yuming
2010
Controlling decoherence from fluctuating magnetic field. Zbl 1184.81087
Chen, Z. Q.; Guo, L. P.; Chen, Y.; Li, X. L.; Liu, G. Q.; Ji, Y. H.; Wang, Z. S.
2010
Second-order differentiability with respect to parameters for differential equations with adaptive delays. Zbl 1201.34096
Chen, Yuming; Hu, Qingwen; Wu, Jianhong
2010
Global attractivity of a generalized Lotka-Volterra competition model. Zbl 1216.34082
Chen, Fengde; Chen, Yuming; Guo, Shangjiang; Li, Zhong
2010
Periodic solutions and the global attractor in a system of delay differential equations. Zbl 1229.34110
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2010
Homotopy analysis method for limit cycle oscillations of an airfoil with cubic nonlinearities. Zbl 1269.70039
Chen, Y. M.; Liu, J. K.
2010
Relationship between the homotopy analysis method and harmonic balance method. Zbl 1222.65083
Chen, Y. M.; Liu, J. K.; Meng, G.
2010
Variational iteration method for conservative oscillators with complicated nonlinearities. Zbl 1371.65077
Chen, Y. M.; Meng, G.; Liu, J. K.
2010
Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response. Zbl 1171.34341
Wang, Qi; Dai, Binxiang; Chen, Yuming
2009
A study of homotopy analysis method for limit cycle of van der Pol equation. Zbl 1221.65198
Chen, Y. M.; Liu, J. K.
2009
Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition. Zbl 1342.92214
Yi, Taishan; Chen, Yuming; Wu, Jianhong
2009
Uniformly valid solution of limit cycle of the Duffing-van der Pol equation. Zbl 1273.70036
Chen, Y. M.; Liu, J. K.
2009
Myard linkage and its mobile assemblies. Zbl 1178.70042
Liu, S. Y.; Chen, Y.
2009
The lattice Boltzmann method based on quadtree mesh. Zbl 1422.76147
Chen, Y.; Cai, Q. D.
2009
Lattice gluon propagator in the Landau gauge: a study using anisotropic lattices. Zbl 1175.81202
Gong, M.; Chen, Y.; Meng, G.; Liu, C.
2009
Stress-strain behaviour of aluminium alloys at a wide range of strain rates. Zbl 1176.74004
Chen, Y.; Clausen, A. H.; Hopperstad, O. S.; Langseth, M.
2009
Two-parameter bifurcations in a network of two neurons with multiple delays. Zbl 1136.34058
Guo, Shangjiang; Chen, Yuming; Wu, Jianhong
2008
Permanence and global stability in a discrete $$n$$-species competition system with feedback controls. Zbl 1154.34352
Liao, Xinyuan; Zhou, Shengfan; Chen, Yuming
2008
Stability of the boundary solution of a nonautonomous predator-prey system with the Beddington-DeAngelis functional response. Zbl 1147.34038
Chen, Fengde; Chen, Yuming; Shi, Jinlin
2008
Homotopy analysis method for limit cycle flutter of airfoils. Zbl 1262.74015
Chen, Y. M.; Liu, J. K.
2008
Dynamic complexities of a predator-prey model with generalized Holling type III functional response and impulsive effects. Zbl 1152.34309
Su, Hua; Dai, Binxiang; Chen, Yuming; Li, Kaiwang
2008
IMRT treatment planning for prostate cancer using prioritized prescription optimization and mean-tail-dose functions. Zbl 1195.92032
Clark, V. H.; Chen, Y.; Wilkens, J.; Alaly, J. R.; Zakaryan, K.; Deasy, J. O.
2008
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#### Cited in 161 Serials

 72 Applied Mathematics and Computation 69 Advances in Difference Equations 56 Discrete Dynamics in Nature and Society 42 Nonlinear Analysis. Real World Applications 40 Abstract and Applied Analysis 35 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 30 Journal of Mathematical Analysis and Applications 27 Chaos, Solitons and Fractals 26 Applied Mathematics Letters 25 Journal of Differential Equations 24 Nonlinear Dynamics 21 Mathematical Methods in the Applied Sciences 20 Mathematical Biosciences and Engineering 20 International Journal of Biomathematics 19 Discrete and Continuous Dynamical Systems. Series B 17 Journal of Applied Mathematics and Computing 16 Applied Mathematical Modelling 15 Computers & Mathematics with Applications 15 Mathematical and Computer Modelling 15 Journal of Difference Equations and Applications 14 Communications in Nonlinear Science and Numerical Simulation 14 Journal of Applied Analysis and Computation 13 Complexity 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Dynamics and Differential Equations 12 Mathematical Problems in Engineering 11 Journal of Computational and Applied Mathematics 9 Journal of Biological Dynamics 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Proceedings of the American Mathematical Society 8 Journal of Applied Mathematics 7 Applicable Analysis 7 Physica D 7 Open Mathematics 6 Journal of Mathematical Biology 6 Chaos 6 Communications on Pure and Applied Analysis 5 Acta Mathematicae Applicatae Sinica. English Series 5 Discrete and Continuous Dynamical Systems 5 Acta Mathematica Sinica. English Series 5 Journal of Biological Systems 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Nonlinear Analysis. Modelling and Control 5 Mediterranean Journal of Mathematics 5 Boundary Value Problems 5 Journal of Fixed Point Theory and Applications 4 Indian Journal of Pure & Applied Mathematics 4 Journal of the Franklin Institute 4 Mathematical Biosciences 4 Bulletin of Mathematical Biology 4 Mathematics and Computers in Simulation 4 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Differential Equations and Dynamical Systems 4 Journal of Inequalities and Applications 4 Qualitative Theory of Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Analysis and Applications (Singapore) 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Nonlinear Science and Applications 3 Journal of Mathematical Physics 3 Periodica Mathematica Hungarica 3 Rocky Mountain Journal of Mathematics 3 Applied Mathematics and Mechanics. (English Edition) 3 Applications of Mathematics 3 Indagationes Mathematicae. New Series 3 Applied Mathematics. Series B (English Edition) 3 Computational and Applied Mathematics 3 Fractional Calculus & Applied Analysis 3 Advances in Complex Systems 3 SIAM Journal on Applied Dynamical Systems 3 Mathematical Modelling of Natural Phenomena 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Collectanea Mathematica 2 International Journal of Mathematics and Mathematical Sciences 2 International Journal of Mathematics 2 Neural Computation 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of Dynamical and Control Systems 2 Mathematical Modelling and Analysis 2 Journal of Function Spaces and Applications 2 International Journal of Differential Equations 2 Science China. Mathematics 2 ISRN Mathematical Analysis 2 Journal of Applied Mathematics & Informatics 2 Journal of Theoretical Biology 2 Advances in Nonlinear Analysis 2 Journal of Mathematics 2 Chinese Journal of Mathematics 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 Physics Letters. A 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 Information Sciences 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Kybernetika ...and 61 more Serials
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#### Cited in 38 Fields

 604 Ordinary differential equations (34-XX) 567 Biology and other natural sciences (92-XX) 209 Difference and functional equations (39-XX) 168 Partial differential equations (35-XX) 165 Dynamical systems and ergodic theory (37-XX) 100 Operator theory (47-XX) 83 Systems theory; control (93-XX) 30 Numerical analysis (65-XX) 27 Probability theory and stochastic processes (60-XX) 24 Integral equations (45-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Real functions (26-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Mechanics of particles and systems (70-XX) 9 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Functional analysis (46-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of deformable solids (74-XX) 4 Statistics (62-XX) 3 Combinatorics (05-XX) 3 General topology (54-XX) 2 Number theory (11-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX)


text:
Consider the probability distribution of a random variable X:
Question:

Consider the probability distribution of a random variable X:

Solution:

Given:


text:
Laplace Transform of Exponential times Cosine

Jump to navigation Jump to search

Theorem

$\map {\laptrans {e^{b t} \cos a t} } s = \dfrac {s - b} {\paren {s - b}^2 + a^2}$

where:

$a$ and $b$ are real numbers
$s$ is a complex number with $\map \Re s > a + b$
$\laptrans f$ denotes the Laplace transform of $f$ evaluated at $s$.

Proof

 $\ds \map {\laptrans {e^{b t} \cos a t} } s$ $=$ $\ds \map {\laptrans {\cos a t} } {s - b}$ Laplace Transform of Exponential times Function $\ds$ $=$ $\ds \frac {s - b} {\paren {s - b}^2 + a^2}$ Laplace Transform of Cosine

$\blacksquare$


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# This is really confusing

1. Jun 7, 2005

### StarGazer92

I'm trying to find out if there is a way to figure out speed and frequency with only a wavelength component, but having no such luck...I'm currently working on a project involving making a homemade musical instrument (I've made a kind of recorder with a closed air tunnel and I've done that, but I'm actually trying to figure out the harmonics needed. Is there a set speed for these frequencies or wavelengths? This is really confusing...

f = vλ

The wave equation should be: $v = f \lambda$


text:
## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 13, Trigonometric Ratios and Functions - 13.4 Evaluate Inverse Trigonometric Functions - 13.4 Exercises - Skill Practice - Page 878: 5

#### Answer

$\theta=\dfrac{\pi}{2}$ or $90^{\circ}$

#### Work Step by Step

We are given $\cos^{-1} (0)$ We know that the trigonometric function $\cos^{-1}$ has domain $[-1,1]$ and the range is: $[0, \pi]$. So, $\theta = \cos^{-1} (0)$ This implies that: $\theta=\dfrac{\pi}{2}$ or $90^{\circ}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.


text:
# Homological Algebra texts

I would like to hear the communities' ideas on good Homological Algebra textbooks / references. The standard example is of course Weibel (which I'll leave for someone else to describe).

As usual, the rule is one reference per post. Please include some description which distinguishes it from other texts.

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Charles Weibel's "An Introduction To Homological Algebra" is the gold standard. Very modern, very clear and written by a master. But it may be a bit rough going for beginners. Much more user friendly and still very thorough is the second edition of Joseph Rotman's book of the same name. Like everything by Rotman, it's a wonderful and enlightening read.

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+1 for Rotman. I find that Weibel is the book I turn to for looking things up, but it doesn't hesitate to take a steam-hammer to the walnut –  Yemon Choi Mar 13 '10 at 7:46
+1 to Weibel. I found it the most enlightening source when I started out learning homological algebra myself, and it remains the book that demystified diagram chases for me. –  Mikael Vejdemo-Johansson Mar 13 '10 at 14:51
It is inspiring to complement the Weibel's book which is very reliable and modern, but sometimes a bit dense and dry/terse (theorem, lemma, exercise, proof), with beautiful Weibel's essay on the history of homological algebra, available on his webpage. –  Zoran Skoda Jun 28 '11 at 12:09
Weibel is no doubt a good book, but I think Chapter 1 is too sketchy for beginners (recall that the book is titled "Introduction".) E.g., the proof for the snake diagramme is delegated to actress Jill Clayburgh (the beginning episode of the movie "It's my turn".) I agree this is funny as a joke, but I would have appreciated the authour's effort in listing a detailed account of the lemma (as in "Algebra" by Robert Ash.) Another example: the proposition crucial in proving the existence of chain equivalence is listed as "Exercise 1.5.2." I would like to see an enhancement in the second edition. –  eltonjohn Jan 24 at 13:24

There are two books by Gelfand and Manin, Homological algebra, around 200 pages and Methods of homological algebra, around 350 pages. The first one covers the standard basic topics, and also has chapters on mixed Hodge structures, perverse sheaves, and D-modules. The second one has a different emphasis, with chapters on simplicial sets and homotopical algebra instead of the above-mentioned topics.

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Warning to the reader: Methods of homological algebra is well known for it's many typographical errors. –  Anton Geraschenko Oct 26 '09 at 0:54
Although there are many typos, I find "Methods" excellent for conveying the big picture. –  David Speyer Oct 26 '09 at 2:44
@Anton: I heard that they recently published an updated edition with many of the typos fixed. –  Harry Gindi Mar 13 '10 at 8:00
As long as you know that there are typos in it, the typos can ultimately be a good things. They keep you on your toes. Most of them a typographical and easily corrected while you read. It is really worth looking at because "Methods" is a great book. There are some real golden nuggets of mathematics hidden in its pages. –  Chris Schommer-Pries Mar 13 '10 at 14:00
"Methods" IS a great book,but I was a little disappointed it delibrately divorced the subject from it's topological roots for most of the book.I like Rotman and particularly Weibel precisely because they DON'T do this-the connections with topology are strongly emphasized. –  The Mathemagician Apr 12 '10 at 20:46

It seems difficult to find good introductions that are freely available online, but a nice set of lecture notes can be be found on Schapira's web page, here.

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Another nice set of lecture notes is the one by Moerdijk, available at staff.science.uu.nl/~lukac101/homalg2007.pdf. –  skupers May 7 '10 at 10:14
Wow,didn't know about the Moerdijk notes-they are quite nice indeed,skupers. –  The Mathemagician May 7 '10 at 16:40
@skupers Your link is broken. –  LeBlanc Sep 23 '12 at 3:34

There's a basic book by Northcott; it does everything only for the category of modules over a ring and does not go far, but it has essentially no prerequisites.

It was written soon after Cartan and Eilenberg, which probably explains the old-fashioned style.

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I guess, thanks to Freyd-Mitchell (en.wikipedia.org/wiki/Mitchell%27s_embedding_theorem), this should be essentially sufficient. It's always a shame (to me) when people take this applied'' approach, though. –  alekzander Oct 26 '09 at 18:04
I must spread the word that character limits are of no consequence any longer. –  Steven Gubkin May 7 '10 at 13:14
Behold! ${ }$ –  Steven Gubkin May 7 '10 at 13:14
(Behold has only 7 characters) –  Steven Gubkin May 7 '10 at 13:15
Older books are not without value, including Cartan-Eilenberg, but it's hard to recommend them currently when books by Weibel, Rotman, and Gelfand-Manin are available. Probably the 1971 Springer text A Course in Homological Algebra by Hilton-Stammbach is a better choice among the early books than Northcott. But for later books the choice depends a lot on your preferred style and whether you want to study derived categories, Freyd-Mitchell, etc. Also whether your motivation for the subject comes from topology, algebra, representation theory, ... –  Jim Humphreys May 7 '10 at 17:10

Basic Homological Algebra by Scott Osbourne is a nice beginners text. It is very thorough and detailed yet well motivated and conversational with a particularly engaging style.

Although old fashioned and outdated in many respects; I would have to say that Cartan-Eilenberg is still of great value as a reference.

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Part IV of Lang's 'Algebra', especially Chapter XX, covers almost everything you want to learn about homological algebra in a first course.

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There is also an interesting lectures on homological algebra of I.Moerdijk, which his notes are on the following link http://www.staff.science.uu.nl/~lukac101/homalg2007.pdf

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Your link is broken. –  Leo Alonso May 2 '12 at 16:21
New link, apparently no less oficial than the preceding one: math.ru.nl/topology/Notes%20on%20Homological%20Algebra.pdf –  darij grinberg Jul 6 '14 at 16:59

I agree the best reference is Weibel, and GM's Methods is really good, but for starting out I'd recommend Mac Lane's Homology (which is just about homological algebra). This is much more readable for someone coming from an undergraduate degree.

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A less well-known book is Vermani: An elementary approach to homological algebra. This was the first book I ever read on homological algebra, and I loved it. I would recommend it to anyone who has not seen much of the subject, as a starting point before going on to more advanced texts. Here is a Google Books preview.

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I have used Weibel in the past as my reference in a graduate course, but I think the less confident students can have trouble getting into it. I've always enjoyed the way it is organized, somehow. The books by Rotman and Scott Osborne (Basic Homological Algebra) seem friendlier for students, but I like to have spectral sequences early on, not just in the last chapter. (Who likes to balance Tor by hand?)

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text:
#### PhD Thesis colloquium

##### Venue: LH-1, Mathematics Department

We study questions broadly related to the Kobayashi (pseudo)distance and (pseudo)metric on domains in $\mathbb{C}^n$. Specifically, we study the following subjects:

Estimates for holomorphic images of subsets in convex domains: Consider the following problem: given domains $\Omega_1\varsubsetneq \mathbb{C}^n$ and $\Omega_2\varsubsetneq \mathbb{C}^m$, and points $a\in \Omega_1$ and $b \in \Omega_2$, find an explicit lower bound for the distance of $f(\Omega_1(r))$ from the complement of $\Omega_2$ in terms of $r$, where $f:\Omega_1\to \Omega_2$ is a holomorphic map such that $f(a)=b$, and $\Omega_1(r)$ is the set of all points in $\Omega_1$ that are at a distance of at least $r$ from the complement of $\Omega_1$. This is motivated by the classical Schwarz lemma (i.e., $\Omega_1 = \Omega_2$ being the unit disk) which gives a sharp lower bound of the latter form. We extend this to the case where $\Omega_1$ and $\Omega_2$ are convex domains. In doing so, we make crucial use of the Kobayashi pseudodistance.

Upper bounds for the Kobayashi metric: We provide new upper bounds for the Kobayashi metric on bounded convex domains in $\mathbb{C}^n$. This bears relation to Graham’s well-known big-constant/small-constant bounds from above and below on convex domains. Graham’s upper bounds are frequently not sharp. Our estimates improve these bounds.

The continuous extension of Kobayashi isometries: We provide a new result in this direction that is based on the properties of convex domains viewed as distance spaces (equipped with the Kobayashi distance). Specifically, we sharpen certain techniques introduced recently by A. Zimmer and extend a result of his to a wider class of convex domains having lower boundary regularity. In particular, all complex geodesics into any such convex domain are shown to extend continuously to the unit circle.

A weak notion of negative curvature for the Kobayashi distance on domains in $\mathbb{C}^n$: We introduce and study a property that we call “visibility with respect to the Kobayashi distance”, which is an analogue of the notion of uniform visibility in CAT(0) spaces. It abstracts an important and characteristic property of Gromov hyperbolic spaces. We call domains satisfying this newly-introduced property “visibility domains”. Bharali–Zimmer recently introduced a class of domains called Goldilocks domains, which are visibility domains, and proved for Goldilocks domains a wide range of properties. We show that visibility domains form a proper superclass of the Goldilocks domains. We do so by constructing a family of domains that are visibility domains but not Goldilocks domains. We also show that visibility domains enjoy many of the properties shown to hold for Goldilocks domains.

Wolff–Denjoy-type theorems for visibility domains: To emphasise the point that many of the results shown to hold for Goldilocks domains can actually be extended to visibility domains, we prove two Wolff–Denjoy-type theorems for taut visibility domains, with one of them being a generalization of a similar result for Goldilocks domains. We also provide a corollary to one of these results to demonstrate the sheer diversity of domains to which the Wolff–Denjoy phenomenon extends.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 06 Mar 2020