Analogues of the bicyclic semigroup in simple semigroups without idempotents

DOI10.1017/S0308210500018163zbMath0626.20047MaRDI QIDQ3029204

Peter R. Jones

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Andersen's theoremidempotent free congruencesidempotent-free (0-)simple semigroupsRédei semigroup

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Free semigroups, generators and relations, word problems (20M05) Mappings of semigroups (20M15)

Related Items (7)

On semigroups with lower semimodular lattice of subsemigroups. ⋮ A generalization of the first Malcev theorem on nilpotent semigroups and nilpotency of the wreath product of semigroups. ⋮ Identities in upper triangular tropical matrix semigroups and the bicyclic monoid ⋮ Basis properties for semigroups ⋮ HOLONOMY EMBEDDING OF ARBITRARY STABLE SEMIGROUPS ⋮ Polyhedral convex cones and the equational theory of the bicyclic semigroup ⋮ Embedding semigroups in \({\mathcal D}\)-trivial semigroups

Cites Work

• Unnamed Item
• Embedding semigroups in \({\mathcal D}\)-trivial semigroups
• Cancellative simple semigroups and groups
• Halbgruppen und Ringe mit Linkseinheiten ohne Linkseinselemente
• Embedding any countable semigroup in a 2-generated bisimple monoid
• Semigroups with Quasi-Zeroes
• A Homomorphism Theorem for Semigroups

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