Journal article
Expansions of completely simple semigroups
Publication Details
Authors: | Billhardt, B. |
Publication year: | 2004 |
Journal: | Studia Scientiarum Mathematicarum Hungarica |
Pages range : | 39-58 |
Volume number: | 41 |
ISSN: | 0081-6906 |
eISSN: | 1588-2896 |
DOI-Link der Erstveröffentlichung: |
Abstract
For any completely simple semigrou, C a regular expansion S (C) is constructed which is the Birget-Rhodes prefix expansion C-Pr if C is a group [6]. We show that our construction generalizes two important features of C-Pr. 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].
For any completely simple semigrou, C a regular expansion S (C) is constructed which is the Birget-Rhodes prefix expansion C-Pr if C is a group [6]. We show that our construction generalizes two important features of C-Pr. 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].
