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Enlargements of regular semigroups

Published online by Cambridge University Press:  20 January 2009

M. V. Lawson
M. V. Lawson
Affiliation:
University of Wales, Bangor School of Mathematics Dean Street Bangor, Gwynedd LL57 1UT Cymru/Wales
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Abstract

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We introduce a class of regular extensions of regular semigroups, called enlargements; a regular semigroup T is said to be an enlargement of a regular subsemigroup S if S = STS and T = TST. We show that S and T have many properties in common, and that enlargements may be used to analyse a number of questions in regular semigroup theory.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 3 , October 1996 , pp. 425 - 460
Copyright
Copyright © Edinburgh Mathematical Society 1996

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