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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