Rees matrix semigroups over inverse semigroups

DOI10.1017/S0308210500014499zbMath0596.20051OpenAlexW2146588739MaRDI QIDQ3728244

Mario Petrich, Francis Pastijn

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1017/s0308210500014499

zbMATH Keywords

regular elementsRees matrix semigroupstranslational hullmaximal subsemilatticesperfect rectangular band of inverse semigroupsstraight locally inverse semigroupsrectangular bands of semilattices of groups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Mappings of semigroups (20M15)

Related Items (4)

Perfect rectangular bands of inverse monoids ⋮ Regular expansions of completely simple semigroups ⋮ The free rectangular band of inverse semigroups on a set ⋮ Generators and relations of Rees matrix semigroups

Cites Work

• Regular four-spiral semigroups, idempotent-generated semigroups and the Rees construction
• Regular semigroups whose idempotents satisfy permutation identities
• Straight Locally Inverse Semigroups
• Regular locally testable semigroups as semigroups of quasi-ideals
• Primitive homomorphic images of semigroups
• On inverses of products of idempotents in regular semigroups

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