Regular Semigroups with Skew Pairs of Idempotents

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8 Citations (Scopus)

Abstract

Let S be a regular semigroup with set of idempotents E(S). Given x, y ∈ S, we say that (x, y) is a skew pair if xy ∉ E(S) whereas yx ∈ E(S). Here we use this concept to characterise certain regular Rees matrix semigroups.

Original languageEnglish
Pages (from-to)264-274
Number of pages11
JournalSemigroup Forum
Volume65
Issue number2
DOIs
Publication statusPublished - Sep 2002

Keywords

  • Idempotents
  • Regular semigroup
  • Skew pairs

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