The set of idempotents of a completely regular semigroup as a binary algebra

DOI10.1017/S0004972700009606zbMath0819.20069MaRDI QIDQ4312396

Raymond Broeksteeg

Publication date: 29 August 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

idempotentsmaximal subgroupsdirect productssubalgebrasbinary operationsunions of groupsfinite bases of identitiespartial operations\(E\)-solid regular semigroupssolid binary algebrasbiordered set of idempotents

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Regular semigroups (20M17) Subalgebras, congruence relations (08A30) Finitary algebras (08A62) Partial algebras (08A55)

Related Items (3)

A concept of variety for regular biordered sets ⋮ The structure of solid binary algebras ⋮ Structure theory of regular semigroups

Cites Work

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• Biordered sets come from semigroups
• Local semilattices on two generators
• The free pseudo-semilattice on two generators
• Structure of regular semigroups. I: Fundamental regular semigroups
• On regular semigroups
• THE EXISTENCE OF E-FREE OBJECTS IN E-VARIETIES OF REGULAR SEMIGROUPS

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