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John Rhodes and the theory of finite semigroups. - MaRDI portal

John Rhodes and the theory of finite semigroups. (Q2447219)

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English	John Rhodes and the theory of finite semigroups.	scientific article

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scholarly article

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John Rhodes and the theory of finite semigroups. (English)

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Stuart W. Margolis

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Benjamin Steinberg

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Semigroup Forum

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publication date

25 April 2014

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zbMATH Keywords

finite semigroups

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Krohn-Rhodes theorem

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00233-013-9543-2

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Undecidability of the identity problem for finite semigroups

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

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Global structure theories for finite semigroups. Introduction. I: Extension of the fundamental theorem of finite semigroups. II: Axioms for complexity for all finite semigroups. III: Complexity of two-\(J\) class semigroups. IV: Synthesis of the classical and modern theory of finite semigroups

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INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES

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Semigroups whose idempotents form a subsemigroup

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Group theory via global semigroup theory

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Partial actions of groups and actions of inverse semigroups

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Maximal subsemigroups of finite semigroups

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Pointlike sets: the finest aperiodic cover of a finite semigroup

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ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I

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Reduction theorem for the type-II conjecture for finite monoids

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Type-II conjecture is true for finite \(\mathcal J\)-trivial monoids

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APERIODIC POINTLIKES AND BEYOND

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A PROFINITE APPROACH TO STABLE PAIRS

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An effective lower bound for group complexity of finite semigroups and automata

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Superboolean rank and the size of the largest triangular submatrix of a random matrix

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Proof of the fundamental lemma of complexity (strong version) for arbitrary finite semigroups

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PARTIAL ACTIONS OF GROUPS

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Realizing complex boolean functions with simple groups

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E-unitary inverse monoids and the Cayley graph of a group presentation

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Expansions, free inverse semigroups, and Schützenberger product

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A Property of Finite Simple Non-Abelian Groups

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Topologies for the free monoid

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The Rhodes expansion and free objects in varieties of completely regular semigroups

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A homomorphism theorem for finite semigroups

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The fundamental lemma of complexity for arbitrary finite semigroups

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Characters and complexity of finite semigroups

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Infinite iteration of matrix semigroups. I: Structure theorem for torsion semigroups

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Infinite iteration of matrix semigroups. II: Structure theorem for arbitrary semigroups up to aperiodic morphism

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UNDECIDABILITY, AUTOMATA, AND PSEUDOVARITIES OF FINITE SEMIGROUPS

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POINTLIKE SETS, HYPERDECIDABILITY AND THE IDENTITY PROBLEM FOR FINITE SEMIGROUPS

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PROFINITE SEMIGROUPS, VARIETIES, EXPANSIONS AND THE STRUCTURE OF RELATIVELY FREE PROFINITE SEMIGROUPS

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Krohn-Rhodes complexity pseudovarieties are not finitely based

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COMPLEXITY PSEUDOVARIETIES ARE NOT LOCAL: TYPE II SUBSEMIGROUPS CAN FALL ARBITRARILY IN COMPLEXITY

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Closed subgroups of free profinite monoids are projective profinite groups

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FURTHER RESULTS ON MONOIDS ACTING ON TREES

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A new notion of vertex independence and rank for finite graphs

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Lower bounds for complexity of finite semigroups

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Improved lower bounds for the complexity of finite semigroups

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The kernel of monoid morphisms

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On The Profinite Topology on a Free Group

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Categories as algebra: An essential ingredient in the theory of monoids

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Identifiers

zbMATH Open document ID

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10.1007/s00233-013-9543-2

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2447219

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