Quasi-ideal embeddings and Rees matrix covers for regular semigroups

DOI10.1016/0021-8693(92)90094-3zbMath0770.20026OpenAlexW1966168922MaRDI QIDQ1204416

Donald B. McAlister

Publication date: 29 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90094-3

zbMATH Keywords

idempotentprincipal idealssemilatticesorthodox semigroupsquasi-idealunions of groupslocally isomorphic imageregular Rees matrix semigroup\({\mathcal L}\)-unipotent semigroupslocally \(\mathcal C\)-semigroup

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Regular semigroups (20M17)

Related Items (4)

Morita Equivalence of Semigroups with Locally Commuting Idempotents ⋮ Morita equivalence of semigroups with local units. ⋮ Enlargements of regular semigroups ⋮ Generators and relations of Rees matrix semigroups

Cites Work

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• Rees matrix covers for regular semigroups
• A generalization of the Rees theorem to a class of regular semigroups
• Rees Matrix Covers for Locally Inverse Semigroups
• The natural partial order on a regular semigroup

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