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0-tight completely 0-simple semigroups
by Hsing Y. Wu  

Vol. 1 No. 4 (2006) P.475~P.484

ABSTRACT

A semigroup is 0-tight if each of its congruences is uniquely determined by each of the congruence classes which do not contain zero. We classify nite 0-tight rectangular 0-bands, and characterize 0-tight completely 0-simple semigroups. Finally, we obtain correspoding results about tight completely simple semigroups.


KEYWORDS
Completely 0-simple, semigroups, tight

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20M20, 08A35

MILESTONES

Received: 2005-09-19
Revised : 2006-01-03
Accepted:


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