The structure of regular semigroups. I: A representation

DOI10.1007/BF02194760zbMath0301.20051OpenAlexW1981297981MaRDI QIDQ1215716

Pierre Antoine Grillet

Publication date: 1974

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134037

Mathematics Subject Classification ID

General structure theory for semigroups (20M10)

Related Items (21)

Biordered sets come from semigroups ⋮ Coextensions of Regular Semigroups by Rectangular Bands. II ⋮ Biorder-preserving coextensions of fundamental semigroups ⋮ Biordered sets and complemented modular lattices ⋮ Normal Categories from Completely Simple Semigroups ⋮ Structure Theory of Regular Semigroups Using Categories ⋮ A groupoid approach to regular \(\ast \)-semigroups ⋮ Cross-connections and variants of the full transformation semigroup ⋮ Cross-connections of linear transformation semigroups ⋮ On the structure of orthodox semigroups ⋮ Locally Ordered Biordered Sets ⋮ Structure of regular semigroups. I: Fundamental regular semigroups ⋮ Biordered sets and fundamental semigroups. ⋮ Relations between cross-connections and biordered sets ⋮ Structure theory of regular semigroups ⋮ Cross-connection structure of concordant semigroups ⋮ Local isomorphisms of cross connections ⋮ The fundamental representation of a strongly regular Baer semigroup ⋮ Monoids on groups with BN-pairs ⋮ Cross-connections of the singular transformation semigroup ⋮ Reconstructing some idempotent-generated semigroups from their biordered sets

Cites Work

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• On regular semigroups and their multiplication
• Left coset extensions
• A construction of inverse semigroups
• Demi-groupes réguliers
• The structure of bisimple left unipotent semigroups as ordered pairs
• Representations of Semigroups and the Translational Hull of a Regular Rees Matrix Semigroup
• FUNDAMENTAL INVERSE SEMIGROUPS

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