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Finite inverse perfect semigroups and their congruences

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

Howard Hamilton  and
Takayuki Tamura
Howard Hamilton
Affiliation:
Department of Mathematics and Statistics, California State University at Sacramento, Sacramento, California 95819, U.S.A.
Takayuki Tamura
Affiliation:
Department of Mathematics, University of California at Davis Davis, California 95616, U.S.A.
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Abstract

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In this paper we characterize the structure of finite inverse perfect semigroups and study congruences on those semigroups, in particular we study those semigroups that have modular lattice of congruences.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 1 , January 1982 , pp. 114 - 128
Copyright
Copyright © Australian Mathematical Society 1982

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