Locally Ordered Biordered Sets

DOI10.1080/00927870903399877zbMath1206.20069OpenAlexW2059785109MaRDI QIDQ3579919

Brett McElwee

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903399877

zbMATH Keywords

idempotentsbiordered setspartial algebraslocally inverse semigroupsnormal bandssemilattices

Mathematics Subject Classification ID

Partial orders, general (06A06) General structure theory for semigroups (20M10) Inverse semigroups (20M18) Generalizations of ordered sets (06A75)

Cites Work

• Biordered sets of bands
• Reconstructing some idempotent-generated semigroups from their biordered sets
• Biordered sets come from semigroups
• The local semilattices of chains of idempotents
• Structure of regular semigroups. I: Fundamental regular semigroups
• The structure of regular semigroups. I: A representation
• The fundamental representation of a completely regular semigroup
• Structure theorems for regular semigroups
• On regular semigroups
• Biordered sets of semigroups
• Biordered Sets of Eventually Regular Semigroups
• The natural partial order on a regular semigroup
• Concepts of congruence, morphic image and substructure for biordered sets^†
• SUBGROUPS OF THE FREE SEMIGROUP ON A BIORDERED SET IN WHICH PRINCIPAL IDEALS ARE SINGLETONS
• Unnamed Item

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