Inverse semigroups and varieties of finite semigroups

DOI10.1016/0021-8693(87)90048-2zbMath0625.20045OpenAlexW1992591314MaRDI QIDQ579421

Jean-Eric Pin, Stuart W. Margolis

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90048-2

zbMATH Keywords

idempotentssemidirect productsvariety of groupsvariety of languagesfinite biprefix codesfinite inverse monoidsgroup languagesorthodox monoidsvarieties of finite monoids

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Semigroups in automata theory, linguistics, etc. (20M35) Quasivarieties and varieties of groups (20E10)

Related Items (18)

Semigroups whose idempotents form a subsemigroup ⋮ SEMIDIRECT PRODUCTS OF ORDERED SEMIGROUPS ⋮ On a conjecture of Rhodes ⋮ Profinite categories and semidirect products ⋮ Catalan monoids inherently nonfinitely based relative to finite \(\mathscr{R}\)-trivial semigroups ⋮ On the varieties of languages associated with some varieties of finite monoids with commuting idempotents ⋮ Covers for monoids. ⋮ Finite state automata: A geometric approach ⋮ Counting monoids and rational languages ⋮ On the semidirect product of the pseudovariety of semilattices by a locally finite pseudovariety of groups ⋮ Semidirect products of regular semigroups ⋮ BRET TILSON: HIS LIFE AND WORK ⋮ New results on the conjecture of Rhodes and on the topological conjecture ⋮ \(NC^ 1\): The automata-theoretic viewpoint ⋮ Semigroups whose idempotents form a subsemigroup ⋮ Inverse semigroups and extensions of groups by semilattices ⋮ Expansions, free inverse semigroups, and Schützenberger product ⋮ On \(F\)-inverse covers of finite-above inverse monoids.

Cites Work

• Inverse semigroups and extensions of groups by semilattices
• Expansions, free inverse semigroups, and Schützenberger product
• Biprefix codes, inverse semigroups and syntactic monoids of injective automata
• On varieties of rational languages and variable length codes. II
• Une topologie du monoide libre
• Variétés de langages et monoide des parties
• On the syntactic transformation semigroup of a language generated by a finite biprefix code
• The variety generated by finite nilpotent monoids
• On certain codes admitting inverse semigroups as syntactic monoids
• Semigroupe des Parties et Relations de Green
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