Expansions of completely simple semigroups

Author： Billhardt B.  

Publisher： Akademiai Kiado

ISSN： 0081-6906

Source： Studia Scientiarum Mathematicarum Hungarica, Vol.41, Iss.1, 2004-02, pp. : 39-58

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Abstract

For any completely simple semigroup C a regular expansion S(C) is constructed which is the Birget--Rhodes prefix expansion CPr if C is a group [6]. We show that our construction generalizes two important features of CPr. Moreover we embed S(C) into a restricted semidirect product of a semilattice by C and investigate the relationship to the expansion P(C), introduced by Meakin [14].

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