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2006 / December Volume 1 No.4
0-tight completely 0-simple semigroups
Published Date
2006 / December
Title
0-tight completely 0-simple semigroups
Author
Hsing Y. Wu
Keyword
Completely 0-simple, semigroups, tight, Completely 0-simple, semigroups, tight
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Pagination
475-484
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.
AMS Subject
Classification
20M20, 08A35
Received
2006-01-03
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