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Almost factorisable inverse semigroups

Published online by Cambridge University Press:  18 May 2009

M. V. Lawson
M. V. Lawson
Affiliation:
University College of North Wales, School of Mathematics, Dean Street, Bangor, Gwynedd, LL57 1UT, Cymru/WalesU.K.
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In [3], McAlister introduced a class of semigroups, called covering semigroups, which were shown to play an important role in the theory of E-unitary covers of semigroups. Strangely, this class of semigroups appears to have received little attention subsequently. It is the aim of this paper to rehabilitate them and to study their properties in more detail. As a first step, we have chosen to rename them almost factorisable semigroups, since they can be regarded as the semigroup analogues of factorisable inverse monoids. Before discussing the contents of this paper in more detail we recall some standard terminology.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 36 , Issue 1 , January 1994 , pp. 97 - 111
Copyright
Copyright © Glasgow Mathematical Journal Trust 1994

References

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