On ordered completely simple semigroups

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2 Citations (Scopus)

Abstract

We consider an ordered completely simple semigroup S = M(G; I, A; P) which is non-degenerate in the sense that G, I, Lambda are non-trivial. We prove that if every element of S has a biggest inverse then S contains at least one of seven particular types of subsemigroup.

Original languageEnglish
Pages (from-to)3477-3494
Number of pages18
JournalCommunications in Algebra
Volume29
Publication statusPublished - 2001

Keywords

  • REGULAR-SEMIGROUPS
  • IDEMPOTENTS

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