On associate subgroups of regular semigroups

Thomas Scott Blyth; P Mendes Martins

On associate subgroups of regular semigroups

Thomas Scott Blyth, P Mendes Martins

Applied Mathematics

Research output: Other contribution

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 language	English
Volume	54
Publication status	Published - Mar 1997

Keywords

IDEMPOTENTS

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title = "On associate subgroups of regular semigroups",

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.",

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author = "Blyth, \{Thomas Scott\} and \{Mendes Martins\}, P",

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T1 - On associate subgroups of regular semigroups

AU - Blyth, Thomas Scott

AU - Mendes Martins, P

N1 - Semigroup Forum

PY - 1997/3

Y1 - 1997/3

N2 - 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.

AB - 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.

KW - IDEMPOTENTS

UR - https://www.scopus.com/pages/publications/26044455153

M3 - Other contribution

VL - 54

ER -

On associate subgroups of regular semigroups

Abstract

Keywords

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