ON MAXIMAL SUBGROUPS OF IDEMPOTENT-GENERATED SEMIGROUPS ASSOCIATED WITH BIORDERED SETS

DOI10.1017/S0004972721001052OpenAlexW4205922691MaRDI QIDQ5069284

Sean Gardiner

Publication date: 8 April 2022

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

Full work available at URL: https://doi.org/10.1017/s0004972721001052

zbMATH Keywords

maximal subgroupsbiordered setsfree idempotent-generated semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Ordered sets (06A99)

Cites Work

• Biordered sets come from semigroups
• Structure of regular semigroups. I: Fundamental regular semigroups
• On maximal subgroups of free idempotent generated semigroups.
• Subgroups of free idempotent generated semigroups need not be free.
• A note on maximal subgroups of free idempotent generated semigroups over bands.
• Structure of regular semigroups. I
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• UNIFORM SEMILATTICES AND BISIMPLE INVERSE SEMIGROUPS
• FUNDAMENTAL INVERSE SEMIGROUPS
• Extensions of Semigroups

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