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THE STRUCTURE OF A KIND OF SEMIABUNDANT SEMIGROUPS

Authors :
Ronghua Zhang
Fengshuo Zhang
Source :
Journal of Algebra and Its Applications. :839-845
Publication Year :
2006
Publisher :
World Scientific Pub Co Pte Lt, 2006.

Abstract

In this paper we study semiabundant semigroups whose idempotents form normal subbands. We prove that a semigroup is of this type if and only if it is isomorphic to a quasi-spined product of a left normal band, a right normal band and a semiadequate semigroup.

Details

ISSN :
17936829 and 02194988
Database :
OpenAIRE
Journal :
Journal of Algebra and Its Applications
Accession number :
edsair.doi...........a76de16db265c4abddc8d49b8ca560a7
Full Text :
https://doi.org/10.1142/s0219498806002046