Keyword

finite semigroups

Description: Finite semigroups are finite sets equipped with an associative binary operation, studied in abstract algebra and theoretical computer science.

Primary topic: semigroups and automata theory (78%)

OpenAlex ID: keywords/finite-semigroups

Finite Semigroups and Universal Algebra

1995 · Jorge Almeida · Series in algebra · 400

The q-theory of Finite Semigroups

2009 · John Rhodes, Benjamin Steinberg · Springer monographs in mathematics · 329

Algebraic Theory of Machines. I. Prime Decomposition Theorem for Finite Semigroups and Machines

1965 · Kenneth Krohn, John Rhodes · Transactions of the American Mathematical Society · 325

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Linear algebraic monoids

1998 · Lex Renner, Mohan Putcha · De Gruyter eBooks · 190

Finite Semigroups And Universal Algebra

1995 · Jorge Almeida · Series in algebra · 183

Semigroups : an introduction to the structure theory

1995 · Pierre Antoine Grillet · CERN Document Server (European Organization for Nuclear Research) · 155

Factorization forests of finite height

1990 · Imre Simon · Theoretical Computer Science · 129

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On The Profinite Topology on a Free Group

1993 · Luis Ribes, Pavel A. Zalesskii · Bulletin of the London Mathematical Society · 120

Classifying Discrete Temporal Properties

1999 · Thomas Wilke · Lecture notes in computer science · 110

Idempotent rank in finite full transformation semigroups

1990 · John M. Howie, Robert B. McFadden · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 105

Finiteness and Regularity in Semigroups and Formal Languages

1999 · Aldo de Luca, Stefano Varricchio · Monographs in theoretical computer science · 100

Matrix representations of semigroups

1957 · W. D. Munn · Mathematical Proceedings of the Cambridge Philosophical Society · 100

Möbius functions and semigroup representation theory

2005 · Benjamin Steinberg · Journal of Combinatorial Theory Series A · 95

On semi-groups in which x r = x

1952 · J. A. Green, D. Rees · Mathematical Proceedings of the Cambridge Philosophical Society · 95

The Finite Basis Problem for Finite Semigroups

2001 · Mikhail V. Volkov · Scientiae mathematicae Japonicae · 92

On regular semigroups whose idempotents form a subsemigroup

1969 · T. E. Hall · Bulletin of the Australian Mathematical Society · 86

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On finite semigroups of matrices

1977 · Arnaldo Mandel, Imre Simon · Theoretical Computer Science · 83

Representation theory of finite semigroups, semigroup radicals and formal language theory

2008 · Jorge Almeida, Stuart Margolis, et al. · Transactions of the American Mathematical Society · 76

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Finite semigroups with commuting idempotents

1987 · C. J. Ash, T. E. Hall · Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 71

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Idempotent generators in finite full transformation semigroups

1978 · J. M. Howie · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 71

Complexity of Finite Semigroups

1968 · Kenneth Krohn, John Rhodes · Annals of Mathematics · 68

Group Axioms for Iteration

1999 · Z Ésik · Information and Computation · 67

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Logic, semigroups and automata on words

1996 · Jean-Eric Pin · Annals of Mathematics and Artificial Intelligence · 67

On the burnside problem for semigroups

1984 · Antonio Restivo, Christophe Reutenauer · Journal of Algebra · 66

An Algebraic Theory for Regular Languages of Finite and Infinite Words

1993 · THOMAS WILKE · International Journal of Algebra and Computation · 65

Works count: 1,237

Citation count: 9,851