On associate subgroups of regular semigroups

Thomas Scott Blyth, P Mendes Martins

Research output: Other contribution

10 Citations (Scopus)

Abstract

We consider an ordered regular semigroup S in which every element chi has a biggest inverse chi degrees and Green's relations L, R are weakly regular. we show that if e,f are idempotents of S such that e less than or equal to f, then the subsemigroup [e, f, e degrees, f degrees] is a principally ordered band with at most 24 elements. We give a complete description of this band and show how it simplifies in natural special cases.

Original languageEnglish
Volume54
Publication statusPublished - Mar 1997

Keywords

  • IDEMPOTENTS

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