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## Steinberg, Benjamin

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 Author ID: steinberg.benjamin Published as: Steinberg, B.; Steinberg, Benjamin Homepage: http://www.sci.ccny.cuny.edu/~benjamin/ External Links: MGP · Math-Net.Ru · MathOverflow · ORCID · ResearchGate · dblp · GND
 Documents Indexed: 140 Publications since 1998, including 4 Books
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#### Co-Authors

 54 single-authored 15 Margolis, Stuart W. 13 Rhodes, John Lewis 7 Almeida, Jorge 7 Auinger, Karl 6 Lohrey, Markus 5 Silva, Pedro V. 4 Delgado, Manuel 4 Lawson, Mark Verus 4 van Gool, Samuel Jacob 3 Ayyer, Arvind 3 Costa, Alfredo 3 Funk, Jonathon R. 3 Henckell, Karsten 3 Kambites, Mark 3 Mazorchuk, Volodymyr 3 Saliola, Franco V. 2 Hajji, Wadii 2 Masuda, Ariane M. 2 Schilling, Anne 2 Thiéry, Nicolas Marc 2 Volkov, Mikhail Vladimirovich 2 Zetzsche, Georg 1 Araújo, João 1 Arnold, Fredrick 1 Cameron, Peter Jephson 1 Can, Mahir Bilen 1 Diekert, Volker 1 Egri-Nagy, Attila 1 Fernandes, Vítor H. 1 Ganyushkin, Oleksandr G. 1 Gitik, Rita 1 Gomes, Gracinda M. S. 1 Gould, Victoria A. R. 1 Handelman, David E. 1 Hofstra, Pieter J. W. 1 Izhakian, Zur 1 Jackson, Marcel G. 1 Kufleitner, Manfred 1 Lee, Edmond W. H. 1 Li, Zhenheng 1 Milan, David P. 1 Quoos, Luciane 1 Ribes, Luis 1 Shahzamanian, Mohammadhossein 1 Tilson, Bret R. 1 Vorobets, Mariya 1 Vorobets, Yaroslav 1 Wang, Qiang (Steven)
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#### Serials

 20 International Journal of Algebra and Computation 10 Semigroup Forum 9 Journal of Pure and Applied Algebra 8 Journal of Algebra 5 Journal of the Australian Mathematical Society 4 Communications in Algebra 4 Theoretical Computer Science 4 Transactions of the American Mathematical Society 3 Advances in Mathematics 3 Canadian Mathematical Bulletin 3 Proceedings of the American Mathematical Society 2 Bulletin of the Australian Mathematical Society 2 Israel Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of Algebraic Combinatorics 2 Algebras and Representation Theory 2 Universitext 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Studia Logica 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Information and Computation 1 International Journal of Foundations of Computer Science 1 L’Enseignement Mathématique. 2e Série 1 Applied Categorical Structures 1 The Electronic Journal of Combinatorics 1 Theory and Applications of Categories 1 Theory of Computing Systems 1 Journal of Group Theory 1 Journal of the European Mathematical Society (JEMS) 1 RAIRO. Theoretical Informatics and Applications 1 Fundamenta Informaticae 1 The Quarterly Journal of Mathematics 1 Portugaliae Mathematica. Nova Série 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Fields Institute Communications 1 Groups, Geometry, and Dynamics 1 EMS Surveys in Mathematical Sciences 1 Springer Monographs in Mathematics 1 Algebraic Combinatorics
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#### Fields

 126 Group theory and generalizations (20-XX) 31 Computer science (68-XX) 19 Combinatorics (05-XX) 17 Category theory; homological algebra (18-XX) 16 Associative rings and algebras (16-XX) 15 Topological groups, Lie groups (22-XX) 14 General algebraic systems (08-XX) 8 Mathematical logic and foundations (03-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 Probability theory and stochastic processes (60-XX) 4 Manifolds and cell complexes (57-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

124 Publications have been cited 1,249 times in 636 Documents Cited by Year
The $$\mathfrak q$$-theory of finite semigroups. Zbl 1186.20043
Rhodes, John; Steinberg, Benjamin
2009
A groupoid approach to discrete inverse semigroup algebras. Zbl 1188.22003
Steinberg, Benjamin
2010
Möbius functions and semigroup representation theory. II: Character formulas and multiplicities. Zbl 1155.20057
Steinberg, Benjamin
2008
Möbius functions and semigroup representation theory. Zbl 1148.20049
Steinberg, Benjamin
2006
On the decidability of iterated semidirect products with applications to complexity. Zbl 1027.20033
Almeida, Jorge; Steinberg, Benjamin
2000
Representation theory of finite semigroups, semigroup radicals and formal language theory. Zbl 1185.20058
Almeida, Jorge; Margolis, Stuart; Steinberg, Benjamin; Volkov, Mikhail
2009
On the irreducible representations of a finite semigroup. Zbl 1184.20054
Ganyushkin, Olexandr; Mazorchuk, Volodymyr; Steinberg, Benjamin
2009
On a class of automata groups generalizing lamplighter groups. Zbl 1106.20028
Silva, P. V.; Steinberg, B.
2005
On pointlike sets and joins of pseudovarieties. Zbl 0942.20041
Steinberg, Benjamin
1998
Synchronizing groups and automata. Zbl 1097.68054
Arnold, Fredrick; Steinberg, Benjamin
2006
Finite state automata: a geometric approach. Zbl 0980.20067
Steinberg, Benjamin
2001
Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras. Zbl 1383.20038
Steinberg, Benjamin
2016
Representation theory of finite monoids. Zbl 1428.20003
Steinberg, Benjamin
2016
Inevitable graphs and profinite topologies: Some solutions to algorithmic problems in monoid and automata theory, stemming from group theory. Zbl 1024.68064
Steinberg, Benjamin
2001
On the rational subset problem for groups. Zbl 1123.20047
Kambites, Mark; Silva, Pedro V.; Steinberg, Benjamin
2007
On the extension problem for partial permutations. Zbl 1027.20035
Auinger, K.; Steinberg, B.
2003
Automata over a binary alphabet generating free groups of even rank. Zbl 1239.20033
Steinberg, Benjamin; Vorobets, Mariya; Vorobets, Yaroslav
2011
Expansions of inverse semigroups. Zbl 1101.20030
Lawson, Mark V.; Margolis, Stuart W.; Steinberg, Benjamin
2006
A geometric characterization of automatic monoids. Zbl 1076.20041
Silva, Pedro V.; Steinberg, Benjamin
2004
Profinite semigroups, varieties, expansions and the structure of relatively free profinite semigroups. Zbl 1026.20057
Rhodes, John; Steinberg, Benjamin
2001
Quivers of monoids with basic algebras. Zbl 1292.20069
Margolis, Stuart; Steinberg, Benjamin
2012
Markov chains, $$\mathcal{R}$$-trivial monoids and representation theory. Zbl 1310.60105
Ayyer, Arvind; Schilling, Anne; Steinberg, Benjamin; Thiéry, Nicolas M.
2015
The Černý conjecture for one-cluster automata with prime length cycle. Zbl 1243.68204
Steinberg, Benjamin
2011
Syntactic and global semigroup theory: A synthesis approach. Zbl 0947.20043
Almeida, Jorge; Steinberg, Benjamin
2000
Semidirect products of categories and applications. Zbl 0942.18001
Steinberg, Benjamin
1999
Between primitive and 2-transitive: synchronization and its friends. Zbl 1402.68124
Araújo, João; Cameron, Peter J.; Steinberg, Benjamin
2017
A topological approach to inverse and regular semigroups. Zbl 1057.20043
Steinberg, Benjamin
2003
The submonoid and rational subset membership problems for graph groups. Zbl 1156.20052
Lohrey, Markus; Steinberg, Benjamin
2008
Modules over étale groupoid algebras as sheaves. Zbl 1333.22001
Steinberg, Benjamin
2014
The étale groupoid of an inverse semigroup as a groupoid of filters. Zbl 1297.20067
Lawson, M. V.; Margolis, S. W.; Steinberg, B.
2013
Polynomial closure and topology. Zbl 1010.20045
Steinberg, Benjamin
2000
Combinatorial topology and the global dimension of algebras arising in combinatorics. Zbl 1330.05166
Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin
2015
Strong Morita equivalence of inverse semigroups. Zbl 1236.46049
Steinberg, Benjamin
2011
The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups. Zbl 1227.20058
Margolis, Stuart; Steinberg, Benjamin
2011
A theory of transformation monoids: combinatorics and representation theory. Zbl 1208.20059
Steinberg, Benjamin
2010
The spectra of lamplighter groups and Cayley machines. Zbl 1168.20012
Kambites, Mark; Silva, Pedro V.; Steinberg, Benjamin
2006
The geometry of profinite graphs with applications to free groups and finite monoids. Zbl 1033.20028
Auinger, K.; Steinberg, B.
2004
Partial actions of groups on cell complexes. Zbl 1022.57002
Steinberg, Benjamin
2003
Inverse automata and profinite topologies on a free group. Zbl 0999.20016
Steinberg, Benjamin
2002
Characterizations of Morita equivalent inverse semigroups. Zbl 1229.20064
Funk, J.; Lawson, M. V.; Steinberg, B.
2011
Aperiodic pointlikes and beyond. Zbl 1227.20049
Henckell, Karsten; Rhodes, John; Steinberg, Benjamin
2010
Categories as algebra. II. Zbl 1054.18001
Steinberg, Benjamin; Tilson, Bret
2003
Semigroups embeddable in hyperplane face monoids. Zbl 1323.20055
Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin
2014
On inverse semigroup $$C^*$$-algebras and crossed products. Zbl 1308.46062
Milan, David; Steinberg, Benjamin
2014
The universal covering of an inverse semigroup. Zbl 1201.20060
Funk, Jonathon; Steinberg, Benjamin
2010
Closed subgroups of free profinite monoids are projective profinite groups. Zbl 1153.20029
Rhodes, John; Steinberg, Benjamin
2008
Pointlike sets, hyperdecidability and the identity problem for finite semigroups. Zbl 1027.20039
Rhodes, John; Steinberg, Benjamin
1999
Monoid kernels and profinite topologies on the free Abelian group. Zbl 0946.20041
Steinberg, Benjamin
1999
A categorical invariant of flow equivalence of shifts. Zbl 1355.37021
Costa, Alfredo; Steinberg, Benjamin
2016
Double Catalan monoids. Zbl 1259.05190
Mazorchuk, Volodymyr; Steinberg, Benjamin
2012
The averaging trick and the Černý conjecture. Zbl 1252.68185
Steinberg, Benjamin
2011
Extensions and submonoids of automatic monoids. Zbl 1061.20048
Silva, Pedro V.; Steinberg, Benjamin
2002
A delay theorem for pointlikes. Zbl 1026.20043
Steinberg, Benjamin
2001
Diagonal-preserving isomorphisms of étale groupoid algebras. Zbl 06990651
Steinberg, Benjamin
2019
Isotropy and crossed toposes. Zbl 1275.18009
Funk, Jonathon; Hofstra, Pieter; Steinberg, Benjamin
2012
Tilings and submonoids of metabelian groups. Zbl 1229.20025
Lohrey, Markus; Steinberg, Benjamin
2011
A profinite approach to stable pairs. Zbl 1209.20052
Henckell, Karsten; Rhodes, John; Steinberg, Benjamin
2010
Matrix mortality and the Černý-Pin conjecture. Zbl 1247.68123
Almeida, Jorge; Steinberg, Benjamin
2009
On power groups and embedding theorems for relatively free profinite monoids. Zbl 1098.20043
Auinger, Karl; Steinberg, Benjamin
2005
Ordered groupoids and etendues. Zbl 1060.18002
Lawson, Mark V.; Steinberg, Benjamin
2004
The uniform word problem for groups and finite Rees quotients of $$E$$-unitary inverse semigroups. Zbl 1031.20048
Steinberg, Benjamin
2003
Combinatorial group theory, inverse monoids, automata, and global semigroup theory. Zbl 1023.20021
Delgado, Manuel; Margolis, Stuart; Steinberg, Benjamin
2002
Chain conditions on étale groupoid algebras with applications to Leavitt path algebras and inverse semigroup algebras. Zbl 1422.16017
Steinberg, Benjamin
2018
Directed nonabelian sandpile models on trees. Zbl 1456.82607
Ayyer, Arvind; Schilling, Anne; Steinberg, Benjamin; Thiéry, Nicolas M.
2015
Representation theory of finite groups. An introductory approach. Zbl 1243.20001
Steinberg, Benjamin
2012
Varieties of finite supersolvable groups with the M. Hall property. Zbl 1117.20024
Auinger, Karl; Steinberg, Benjamin
2006
On aperiodic relational morphisms. Zbl 1140.20044
Steinberg, Benjamin
2005
Constructing divisions into power groups. Zbl 1077.68056
Auinger, K.; Steinberg, B.
2005
Factorization theorems for morphisms of ordered groupoids and inverse semigroups. Zbl 0990.20043
Steinberg, Benjamin
2001
On algorithmic problems for joins of pseudovarieties. Zbl 0980.20055
Steinberg, Benjamin
2001
Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras. Zbl 07032812
Steinberg, Benjamin
2019
On some algorithmic properties of finite state automorphisms of rooted trees. Zbl 1326.20037
Steinberg, Benjamin
2015
Profinite groups associated to sofic shifts are free. Zbl 1257.20054
Costa, Alfredo; Steinberg, Benjamin
2011
The averaging trick and the Černý conjecture. Zbl 1250.68180
Steinberg, Benjamin
2010
A constructive version of the Ribes-Zalesskiĭ product theorem. Zbl 1074.20022
Auinger, K.; Steinberg, B.
2005
An application of a theorem of Ash to finite covers. Zbl 1073.20051
Auinger, Karl; Gomes, Gracinda M. S.; Gould, Victoria; Steinberg, Benjamin
2004
On semigroups whose idempotent-generated subsemigroup is aperiodic. Zbl 1081.20067
Delgado, Manuel; Fernandes, Vítor H.; Margolis, Stuart; Steinberg, Benjamin
2004
On the Kurosh theorem and separability properties. Zbl 1016.20017
Gitik, Rita; Margolis, Stuart W.; Steinberg, Benjamin
2003
Poset topology and homological invariants of algebras arising in algebraic combinatorics. Zbl 1394.16004
Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin
2014
The Krohn-Rhodes theorem and local divisors. Zbl 1263.68116
Diekert, Volker; Kufleitner, Manfred; Steinberg, Benjamin
2012
Representation theory of finite semigroups over semirings. Zbl 1260.20084
Izhakian, Zur; Rhodes, John; Steinberg, Benjamin
2011
Complexity pseudovarieties are not local; type II subsemigroups can fall arbitrarily in complexity. Zbl 1105.20049
Rhodes, John; Steinberg, Benjamin
2006
Join irreducible pseudovarieties, group mapping, and Kovács-Newman semigroups. Zbl 1187.20065
Rhodes, John; Steinberg, Benjamin
2004
On an assertion of J. Rhodes and the finite basis and finite vertex rank problems for pseudovarieties. Zbl 1048.20037
Steinberg, Benjamin
2004
Inverse semigroup homomorphisms via partial group actions. Zbl 0992.20048
Steinberg, Benjamin
2001
The global dimension of the full transformation monoid (with an appendix by V. Mazorchuk and B. Steinberg). Zbl 1354.20037
Steinberg, Benjamin
2016
Rational subsets and submonoids of wreath products. Zbl 1332.20038
Lohrey, Markus; Steinberg, Benjamin; Zetzsche, Georg
2015
An effective lower bound for group complexity of finite semigroups and automata. Zbl 1260.20075
Henckell, Karsten; Rhodes, John; Steinberg, Benjamin
2012
A wreath product approach to classical subgroup theorems. Zbl 1209.20024
Ribes, Luis; Steinberg, Benjamin
2010
Černý’s conjecture and group representation theory. Zbl 1223.05117
Steinberg, Benjamin
2010
A note on the power semigroup of a completely simple semigroup. Zbl 1151.20045
Steinberg, Benjamin
2008
Solving systems of equations modulo pseudovarieties of Abelian groups and hyperdecidability. Zbl 1133.20046
Delgado, Manuel; Masuda, Ariane; Steinberg, Benjamin
2007
Krohn-Rhodes complexity pseudovarieties are not finitely based. Zbl 1083.20050
Rhodes, John; Steinberg, Benjamin
2005
A note on the equation $$\mathbf{PH}={\mathbf J}*{\mathbf H}$$. Zbl 1020.20036
Steinberg, Benjamin
2001
$$\mathbf{PG}=\mathbf{BG}$$: redux. Zbl 0982.20045
Steinberg, B.
2000
Fundamental groups, inverse Schützenberger automata, and monoid presentations. Zbl 0982.20052
Steinberg, Benjamin
2000
Merge decompositions, two-sided Krohn-Rhodes, and aperiodic pointlikes. Zbl 07036975
van Gool, Samuel J.; Steinberg, Benjamin
2019
The inverse hull of 0-left cancellative semigroups. Zbl 1445.20048
Exel, Ruy; Steinberg, Benjamin
2018
The Schützenberger category of a semigroup. Zbl 1343.20064
Costa, Alfredo; Steinberg, Benjamin
2015
On a conjecture of Karrass and Solitar. Zbl 1298.20034
Steinberg, Benjamin
2014
Simplicity of inverse semigroup and étale groupoid algebras. Zbl 07309960
Steinberg, Benjamin; Szakács, Nóra
2021
GCR and CCR Steinberg algebras. Zbl 07282202
Clark, Lisa O.; Steinberg, Benjamin; van Wyk, Daniel W.
2020
Random walks on rings and modules. Zbl 1434.60178
Ayyer, Arvind; Steinberg, Benjamin
2020
Diagonal-preserving isomorphisms of étale groupoid algebras. Zbl 06990651
Steinberg, Benjamin
2019
Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras. Zbl 07032812
Steinberg, Benjamin
2019
Merge decompositions, two-sided Krohn-Rhodes, and aperiodic pointlikes. Zbl 07036975
van Gool, Samuel J.; Steinberg, Benjamin
2019
Pro-aperiodic monoids via saturated models. Zbl 07143818
van Gool, Samuel J.; Steinberg, Benjamin
2019
Chain conditions on étale groupoid algebras with applications to Leavitt path algebras and inverse semigroup algebras. Zbl 1422.16017
Steinberg, Benjamin
2018
The inverse hull of 0-left cancellative semigroups. Zbl 1445.20048
Exel, Ruy; Steinberg, Benjamin
2018
Projective indecomposable modules and quivers for monoid algebras. Zbl 07051315
Margolis, Stuart; Steinberg, Benjamin
2018
Between primitive and 2-transitive: synchronization and its friends. Zbl 1402.68124
Araújo, João; Cameron, Peter J.; Steinberg, Benjamin
2017
Pro-aperiodic monoids via saturated models. Zbl 1402.68126
van Gool, Samuel J.; Steinberg, Benjamin
2017
On the atoms of algebraic lattices arising in $$\mathfrak{q}$$-theory. Zbl 1423.20063
Egri-Nagy, Attila; Jackson, Marcel; Rhodes, John; Steinberg, Benjamin
2017
Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras. Zbl 1383.20038
Steinberg, Benjamin
2016
Representation theory of finite monoids. Zbl 1428.20003
Steinberg, Benjamin
2016
A categorical invariant of flow equivalence of shifts. Zbl 1355.37021
Costa, Alfredo; Steinberg, Benjamin
2016
The global dimension of the full transformation monoid (with an appendix by V. Mazorchuk and B. Steinberg). Zbl 1354.20037
Steinberg, Benjamin
2016
Markov chains, $$\mathcal{R}$$-trivial monoids and representation theory. Zbl 1310.60105
Ayyer, Arvind; Schilling, Anne; Steinberg, Benjamin; Thiéry, Nicolas M.
2015
Combinatorial topology and the global dimension of algebras arising in combinatorics. Zbl 1330.05166
Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin
2015
Directed nonabelian sandpile models on trees. Zbl 1456.82607
Ayyer, Arvind; Schilling, Anne; Steinberg, Benjamin; Thiéry, Nicolas M.
2015
On some algorithmic properties of finite state automorphisms of rooted trees. Zbl 1326.20037
Steinberg, Benjamin
2015
Rational subsets and submonoids of wreath products. Zbl 1332.20038
Lohrey, Markus; Steinberg, Benjamin; Zetzsche, Georg
2015
The Schützenberger category of a semigroup. Zbl 1343.20064
Costa, Alfredo; Steinberg, Benjamin
2015
Character theory of monoids over an arbitrary field. Zbl 1333.20061
Masuda, Ariane M.; Quoos, Luciane; Steinberg, Benjamin
2015
Modules over étale groupoid algebras as sheaves. Zbl 1333.22001
Steinberg, Benjamin
2014
Semigroups embeddable in hyperplane face monoids. Zbl 1323.20055
Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin
2014
On inverse semigroup $$C^*$$-algebras and crossed products. Zbl 1308.46062
Milan, David; Steinberg, Benjamin
2014
Poset topology and homological invariants of algebras arising in algebraic combinatorics. Zbl 1394.16004
Margolis, Stuart; Saliola, Franco; Steinberg, Benjamin
2014
On a conjecture of Karrass and Solitar. Zbl 1298.20034
Steinberg, Benjamin
2014
The étale groupoid of an inverse semigroup as a groupoid of filters. Zbl 1297.20067
Lawson, M. V.; Margolis, S. W.; Steinberg, B.
2013
On finite-dimensional representations of compact inverse semigroups. Zbl 1297.22005
Hajji, Wadii; Steinberg, Benjamin; Handelman, David
2013
Rational subsets and submonoids of wreath products. Zbl 1293.20036
Lohrey, Markus; Steinberg, Benjamin; Zetzsche, Georg
2013
Quivers of monoids with basic algebras. Zbl 1292.20069
Margolis, Stuart; Steinberg, Benjamin
2012
Double Catalan monoids. Zbl 1259.05190
Mazorchuk, Volodymyr; Steinberg, Benjamin
2012
Isotropy and crossed toposes. Zbl 1275.18009
Funk, Jonathon; Hofstra, Pieter; Steinberg, Benjamin
2012
Representation theory of finite groups. An introductory approach. Zbl 1243.20001
Steinberg, Benjamin
2012
The Krohn-Rhodes theorem and local divisors. Zbl 1263.68116
Diekert, Volker; Kufleitner, Manfred; Steinberg, Benjamin
2012
An effective lower bound for group complexity of finite semigroups and automata. Zbl 1260.20075
Henckell, Karsten; Rhodes, John; Steinberg, Benjamin
2012
Effective dimension of finite semigroups. Zbl 1279.20077
Mazorchuk, Volodymyr; Steinberg, Benjamin
2012
Yet another solution to the Burnside problem for matrix semigroups. Zbl 1244.20051
Steinberg, Benjamin
2012
Automata over a binary alphabet generating free groups of even rank. Zbl 1239.20033
Steinberg, Benjamin; Vorobets, Mariya; Vorobets, Yaroslav
2011
The Černý conjecture for one-cluster automata with prime length cycle. Zbl 1243.68204
Steinberg, Benjamin
2011
Strong Morita equivalence of inverse semigroups. Zbl 1236.46049
Steinberg, Benjamin
2011
The quiver of an algebra associated to the Mantaci-Reutenauer descent algebra and the homology of regular semigroups. Zbl 1227.20058
Margolis, Stuart; Steinberg, Benjamin
2011
Characterizations of Morita equivalent inverse semigroups. Zbl 1229.20064
Funk, J.; Lawson, M. V.; Steinberg, B.
2011
The averaging trick and the Černý conjecture. Zbl 1252.68185
Steinberg, Benjamin
2011
Tilings and submonoids of metabelian groups. Zbl 1229.20025
Lohrey, Markus; Steinberg, Benjamin
2011
Profinite groups associated to sofic shifts are free. Zbl 1257.20054
Costa, Alfredo; Steinberg, Benjamin
2011
Representation theory of finite semigroups over semirings. Zbl 1260.20084
Izhakian, Zur; Rhodes, John; Steinberg, Benjamin
2011
On iterated Mal’cev products with a pseudovariety of groups. Zbl 1244.20052
2011
On the endomorphism monoid of a profinite semigroup. Zbl 1226.22003
Steinberg, Benjamin
2011
A groupoid approach to discrete inverse semigroup algebras. Zbl 1188.22003
Steinberg, Benjamin
2010
A theory of transformation monoids: combinatorics and representation theory. Zbl 1208.20059
Steinberg, Benjamin
2010
Aperiodic pointlikes and beyond. Zbl 1227.20049
Henckell, Karsten; Rhodes, John; Steinberg, Benjamin
2010
The universal covering of an inverse semigroup. Zbl 1201.20060
Funk, Jonathon; Steinberg, Benjamin
2010
A profinite approach to stable pairs. Zbl 1209.20052
Henckell, Karsten; Rhodes, John; Steinberg, Benjamin
2010
The averaging trick and the Černý conjecture. Zbl 1250.68180
Steinberg, Benjamin
2010
A wreath product approach to classical subgroup theorems. Zbl 1209.20024
Ribes, Luis; Steinberg, Benjamin
2010
Černý’s conjecture and group representation theory. Zbl 1223.05117
Steinberg, Benjamin
2010
Characterization of group radicals with an application to Mal’cev products. Zbl 1250.20046
Almeida, Jorge; Margolis, Stuart; Steinberg, Benjamin; Volkov, Mikhail
2010
Submonoids and rational subsets of groups with infinitely many ends. Zbl 1239.20038
Lohrey, Markus; Steinberg, Benjamin
2010
Maximal subgroups of the minimal ideal of a free profinite monoid are free. Zbl 1220.20045
Steinberg, Benjamin
2010
A structural approach to the locality of pseudovarieties of the form $$\mathbf{LH}\circm\mathbf{V}$$. Zbl 1200.20044
Steinberg, B.
2010
A combinatorial property of ideals in free profinite monoids. Zbl 1203.20052
Steinberg, Benjamin
2010
The $$\mathfrak q$$-theory of finite semigroups. Zbl 1186.20043
Rhodes, John; Steinberg, Benjamin
2009
Representation theory of finite semigroups, semigroup radicals and formal language theory. Zbl 1185.20058
Almeida, Jorge; Margolis, Stuart; Steinberg, Benjamin; Volkov, Mikhail
2009
On the irreducible representations of a finite semigroup. Zbl 1184.20054
Ganyushkin, Olexandr; Mazorchuk, Volodymyr; Steinberg, Benjamin
2009
Matrix mortality and the Černý-Pin conjecture. Zbl 1247.68123
Almeida, Jorge; Steinberg, Benjamin
2009
Möbius functions and semigroup representation theory. II: Character formulas and multiplicities. Zbl 1155.20057
Steinberg, Benjamin
2008
The submonoid and rational subset membership problems for graph groups. Zbl 1156.20052
Lohrey, Markus; Steinberg, Benjamin
2008
Closed subgroups of free profinite monoids are projective profinite groups. Zbl 1153.20029
Rhodes, John; Steinberg, Benjamin
2008
A note on the power semigroup of a completely simple semigroup. Zbl 1151.20045
Steinberg, Benjamin
2008
On the rational subset problem for groups. Zbl 1123.20047
Kambites, Mark; Silva, Pedro V.; Steinberg, Benjamin
2007
Solving systems of equations modulo pseudovarieties of Abelian groups and hyperdecidability. Zbl 1133.20046
Delgado, Manuel; Masuda, Ariane; Steinberg, Benjamin
2007
Wreath product decompositions for triangular matrix semigroups. Zbl 1134.20066
Kambites, Mark; Steinberg, Benjamin
2007
Möbius functions and semigroup representation theory. Zbl 1148.20049
Steinberg, Benjamin
2006
Synchronizing groups and automata. Zbl 1097.68054
Arnold, Fredrick; Steinberg, Benjamin
2006
Expansions of inverse semigroups. Zbl 1101.20030
Lawson, Mark V.; Margolis, Stuart W.; Steinberg, Benjamin
2006
The spectra of lamplighter groups and Cayley machines. Zbl 1168.20012
Kambites, Mark; Silva, Pedro V.; Steinberg, Benjamin
2006
Varieties of finite supersolvable groups with the M. Hall property. Zbl 1117.20024
Auinger, Karl; Steinberg, Benjamin
2006
Complexity pseudovarieties are not local; type II subsemigroups can fall arbitrarily in complexity. Zbl 1105.20049
Rhodes, John; Steinberg, Benjamin
2006
On a class of automata groups generalizing lamplighter groups. Zbl 1106.20028
Silva, P. V.; Steinberg, B.
2005
On power groups and embedding theorems for relatively free profinite monoids. Zbl 1098.20043
Auinger, Karl; Steinberg, Benjamin
2005
On aperiodic relational morphisms. Zbl 1140.20044
Steinberg, Benjamin
2005
Constructing divisions into power groups. Zbl 1077.68056
Auinger, K.; Steinberg, B.
2005
A constructive version of the Ribes-Zalesskiĭ product theorem. Zbl 1074.20022
Auinger, K.; Steinberg, B.
2005
Krohn-Rhodes complexity pseudovarieties are not finitely based. Zbl 1083.20050
Rhodes, John; Steinberg, Benjamin
2005
A geometric characterization of automatic monoids. Zbl 1076.20041
Silva, Pedro V.; Steinberg, Benjamin
2004
The geometry of profinite graphs with applications to free groups and finite monoids. Zbl 1033.20028
Auinger, K.; Steinberg, B.
2004
Ordered groupoids and etendues. Zbl 1060.18002
Lawson, Mark V.; Steinberg, Benjamin
2004
An application of a theorem of Ash to finite covers. Zbl 1073.20051
Auinger, Karl; Gomes, Gracinda M. S.; Gould, Victoria; Steinberg, Benjamin
2004
On semigroups whose idempotent-generated subsemigroup is aperiodic. Zbl 1081.20067
Delgado, Manuel; Fernandes, Vítor H.; Margolis, Stuart; Steinberg, Benjamin
2004
Join irreducible pseudovarieties, group mapping, and Kovács-Newman semigroups. Zbl 1187.20065
Rhodes, John; Steinberg, Benjamin
2004
On an assertion of J. Rhodes and the finite basis and finite vertex rank problems for pseudovarieties. Zbl 1048.20037
Steinberg, Benjamin
2004
A modern approach to some results of Stiffler. Zbl 1189.20052
Steinberg, Benjamin
2004
International conference on semigroups and groups in honor of the 65th birthday of Prof. John Rhodes. Papers from the conference, University of Porto, Porto, Portugal, June 26–29, 2002. Zbl 1066.20500
Margolis, S. W. (ed.); Steinberg, Benjamin (ed.)
2004
On the extension problem for partial permutations. Zbl 1027.20035
Auinger, K.; Steinberg, B.
2003
A topological approach to inverse and regular semigroups. Zbl 1057.20043
Steinberg, Benjamin
2003
Partial actions of groups on cell complexes. Zbl 1022.57002
Steinberg, Benjamin
2003
Categories as algebra. II. Zbl 1054.18001
Steinberg, Benjamin; Tilson, Bret
2003
...and 24 more Documents
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#### Cited by 570 Authors

 84 Steinberg, Benjamin 35 Almeida, Jorge 20 Rhodes, John Lewis 17 Orloff Clark, Lisa 16 Lawson, Mark Verus 16 Rodaro, Emanuele 15 Margolis, Stuart W. 14 Costa, José Carlos 14 Gray, Robert D. 14 Lohrey, Markus 13 Cameron, Peter Jephson 13 Kambites, Mark 12 Araújo, João 12 East, James 11 Dokuchaev, Mikhailo 11 Silva, Pedro V. 10 Costa, Alfredo 10 D’angeli, Daniele 10 Exel, Ruy 10 Gould, Victoria A. R. 10 Kudryavtseva, Ganna 10 Mazorchuk, Volodymyr 10 Mitchell, James D. 9 Auinger, Karl 9 Delgado, Manuel 9 Zeitoun, Marc 8 Dolinka, Igor 8 Pin, Jean-Eric 8 Schilling, Anne 8 Sims, Aidan 8 Weil, Pascal 7 Ayyer, Arvind 7 Bentz, Wolfram 7 Cain, Alan J. 7 Guo, Xiaojiang 7 Hazrat, Roozbeh 6 Klíma, Ondřej 6 Klimann, Ines 6 Pardo, Enrique 6 Shum, Kar-Ping 6 Stein, Itamar 5 Brown, Jonathan Henry 5 Diekert, Volker 5 Escada, Ana P. 5 Fountain, John Barringham 5 Gomes, Gracinda M. S. 5 Malandro, Martin E. 5 Milan, David P. 5 Nogueira, Conceição 5 Picantin, Matthieu 5 Simón, Juan Jacobo 5 Starling, Charles 5 Volkov, Mikhail Vladimirovich 4 Ara, Pere 4 Araújo, João Pedro 4 Ballester-Bolinches, Adolfo 4 Berlinkov, Mikhail V. 4 Billhardt, Bernd 4 Borlido, Célia 4 Branco, Mário J. J. 4 Carlsen, Toke Meier 4 Gonçalves, Daniel 4 Henckell, Karsten 4 Hollings, Christopher David 4 Johnson, Marianne 4 Jungers, Raphaël M. 4 Khrypchenko, Mykola S. 4 Li, Huanhuan 4 Saliola, Franco V. 4 Sanwong, Jintana 4 Savchuk, Dmytro M. 4 Shusterman, Mark 4 Sommanee, Worachead 4 Szykuła, Marek 4 Teixeira, Maria Lurdes 4 Woryna, Adam 4 Zetzsche, Georg 3 Almeida, José Humberto S. 3 an Huef, Astrid 3 Beuter, Viviane Maria 3 Bice, Tristan Matthew 3 Cao, You’an 3 Cordeiro, Edite 3 Cosme-Llópez, Enric 3 Danz, Susanne 3 Egri-Nagy, Attila 3 Fernandes, Vítor H. 3 Funk, Jonathon R. 3 Gilbert, Nick D. 3 Guo, Junying 3 Gusev, Vladimir Valer’evich 3 Jackson, Marcel G. 3 Kufleitner, Manfred 3 Li, Zhenheng 3 Li, Zhuo 3 Maltcev, Victor 3 Meakin, John C. 3 Nam, Tran Giang 3 Péresse, Yann H. 3 Perrin, Dominique ...and 470 more Authors
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#### Cited in 126 Serials

 89 International Journal of Algebra and Computation 81 Semigroup Forum 62 Journal of Algebra 34 Journal of Pure and Applied Algebra 26 Theoretical Computer Science 22 Communications in Algebra 21 Transactions of the American Mathematical Society 16 Advances in Mathematics 13 Journal of the Australian Mathematical Society 10 Israel Journal of Mathematics 9 Journal of Algebraic Combinatorics 9 Algebras and Representation Theory 8 International Journal of Foundations of Computer Science 7 Information and Computation 6 Bulletin of the Australian Mathematical Society 6 Proceedings of the American Mathematical Society 6 Forum Mathematicum 6 RAIRO. Theoretical Informatics and Applications 6 Journal of Algebra and its Applications 5 Algebra Universalis 5 Theory of Computing Systems 5 Asian-European Journal of Mathematics 4 Periodica Mathematica Hungarica 4 Topology and its Applications 4 Proceedings of the Steklov Institute of Mathematics 4 Groups, Geometry, and Dynamics 4 Open Mathematics 4 Algebraic Combinatorics 3 Geometriae Dedicata 3 Journal of Combinatorial Theory. Series A 3 Monatshefte für Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 European Journal of Combinatorics 3 Advances in Applied Mathematics 3 Ergodic Theory and Dynamical Systems 3 Acta Mathematica Hungarica 3 Bulletin of the Iranian Mathematical Society 3 Journal of Symbolic Computation 3 Journal of Mathematical Sciences (New York) 3 Theory and Applications of Categories 3 Discrete and Continuous Dynamical Systems 3 Portugaliae Mathematica. Nova Série 2 Linear and Multilinear Algebra 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Algebra and Logic 2 Canadian Mathematical Bulletin 2 Information Sciences 2 Journal of Computer and System Sciences 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Results in Mathematics 2 SIAM Journal on Discrete Mathematics 2 Publicacions Matemàtiques 2 Linear Algebra and its Applications 2 Archive for Mathematical Logic 2 The Electronic Journal of Combinatorics 2 International Journal of Group Theory 2 Forum of Mathematics, Sigma 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Notes 1 Arkiv för Matematik 1 Mathematics of Computation 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Algorithmica 1 Discrete & Computational Geometry 1 Journal of Theoretical Probability 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Mathematics 1 MSCS. Mathematical Structures in Computer Science 1 Expositiones Mathematicae 1 Cybernetics and Systems Analysis 1 Journal of Logic, Language and Information 1 Applied Categorical Structures 1 Applied and Computational Harmonic Analysis 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Annals of Combinatorics 1 LMS Journal of Computation and Mathematics 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics ...and 26 more Serials
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#### Cited in 42 Fields

 472 Group theory and generalizations (20-XX) 165 Computer science (68-XX) 105 Associative rings and algebras (16-XX) 100 Combinatorics (05-XX) 76 Category theory; homological algebra (18-XX) 52 Topological groups, Lie groups (22-XX) 42 Functional analysis (46-XX) 36 Order, lattices, ordered algebraic structures (06-XX) 29 Mathematical logic and foundations (03-XX) 24 General algebraic systems (08-XX) 23 Dynamical systems and ergodic theory (37-XX) 19 Probability theory and stochastic processes (60-XX) 11 Convex and discrete geometry (52-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Abstract harmonic analysis (43-XX) 9 General topology (54-XX) 7 Commutative algebra (13-XX) 7 Operator theory (47-XX) 6 History and biography (01-XX) 6 Nonassociative rings and algebras (17-XX) 5 Algebraic geometry (14-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 5 Numerical analysis (65-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 3 $$K$$-theory (19-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Geometry (51-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)