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On finite 0-simple semigroups and graph theory

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/s0021-9800(68)80001-8openalex-snapshot
Maximal subsemigroups of finite semigroups
inferredcites →https://doi.org/10.1017/s0305004100017436openalex-snapshot
On semi-groups
inferredcites →https://doi.org/10.2307/2004410openalex-snapshot
Algebraic Theory of Machines, Languages, and Semigroups

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Matrix Mortality and the Černý-Pin Conjecture
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Introduction
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BG = PG: A Success Story
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Lower bounds for the π-length of (finite) π-solvable semigroups
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Regular principal factors in free objects in varieties in the interval [B 2 ,NB 2 ∨G n ]
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Free idempotent generated semigroups: The word problem and structure via gain graphs
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Kernel systems—A global study of homomorphisms on finite semigroups
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Type-II conjecture is true for finite I-trivial monoids
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Improved lower bounds for the complexity of finite semigroups
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Relationships between combinatorics and 0-simple semigroups
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Reduction theorem for the Type-II conjecture for finite monoids
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On classification of maximal nilpotent subsemigroups
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Subgroups of free idempotent generated semigroups need not be free
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Computing maximal subsemigroups of a finite semigroup
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Maximal subsemigroups of finite transformation and diagram monoids
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Topology and monoid representations II: Left regular bands of groups and Hsiao's monoid of ordered G-partitions
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Diagram monoids and Graham–Houghton graphs: Idempotents and generating sets of ideals
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Topology and monoid representations I: Foundations
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On nilpotent subsemigroups of the matrix semigroup over an antiring
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On an assertion of J. Rhodes and the finite basis and finite vertex rank problems for pseudovarieties
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ON THE FREE SPECTRUM OF THE VARIETY GENERATED BY THE COMBINATORIAL COMPLETELY 0-SIMPLE SEMIGROUPS
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VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS
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Krohn-Rhodes complexity pseudovarieties are not finitely based
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Generating Sets of Completely 0-Simple Semigroups
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Representation theory of finite semigroups, semigroup radicals and formal language theory
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A NEW METHOD IN THE FINITE BASIS PROBLEM WITH APPLICATIONS TO RANK 2 TRANSFORMATION SEMIGROUPS
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Degree 2 transformation semigroups as continuous maps on graphs: Foundations and structure
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Degree 2 transformation semigroups as continuous maps on graphs: Complexity and examples
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A Note on the Definitions of Blocks of Epigroups
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Universal locally finite maximally homogeneous semigroups and inverse semigroups
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An Elementary Proof of a Theorem of Graham on Finite Semigroups
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Subgroups of free idempotent generated semigroups: full linear monoid
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The q-theory of finite semigroups: history and mathematics
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Primitive groups, road closures, and idempotent generation
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$\aleph_0$-categoricity of semigroups II
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Efficient Membership Testing for Pseudovarieties of Finite Semigroups
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Permutations of a semigroup that map to inverses
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