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Congruences on regular and completely regular semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

P. G. Trotter
P. G. Trotter
Affiliation:
University of Tasmania, Hobart, Tasmania, Australia
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Abstract

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Congruences on regular semigroups have been characterized in terms of normal equivalences on sets of idempotents and kernels of congruences. A revised characterization is presented here with considerably simplified expressions for the least and greatest congruences associated with normal equivalences and with a new description of kernels. The results are then applied to characterize congruences on completely regular semigroups.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 3 , June 1982 , pp. 388 - 398
Copyright
Copyright © Australian Mathematical Society 1982

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