Skew pairs of idempotents in transformation semigroups

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Abstract

An ordered pair (e, f) of idempotents of a regular semigroup is called a skew pair if ef is not idempotent whereas fe is idempotent. We have shown previously that there are four distinct types of skew pairs of idempotents. Here we investigate the ubiquity of such skew pairs in full transformation semigroups.

Original languageEnglish
Pages (from-to)1705-1714
Number of pages10
JournalActa Mathematica Sinica-English Series
Volume22
Issue number6
DOIs
Publication statusPublished - Nov 2006

Keywords

  • Full transformation semigroups
  • Idempotents
  • Skew pairs

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