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Abundant Rees matrix semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

M. V. Lawson
M. V. Lawson
Affiliation:
Department of Mathematics, University of York, Heslington, York, United Kingdom
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Abstract

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The class of abundant semigroups originally arose from ‘homological’ considerations in the theory of S-systems: they are the semigroup theoretic counterparts of PP-rings. Cancellative monoids, full subsemigroups of regular semigroups as well as the multiplicative semigroups of PP-rings are abundant. In this paper we investigate the properties of Rees matrix semigroups over abundant semigroups. Some of our results generalise McAlister's work on regular Rees matrix semigroups.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 42 , Issue 1 , February 1987 , pp. 132 - 142
Copyright
Copyright © Australian Mathematical Society 1987

References

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