## Simson, Daniel

Compute Distance To:
 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
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### 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)