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Some covering and embedding theorems for inverse semigroups

Published online by Cambridge University Press:  09 April 2009

D. B. McAllister
D. B. McAllister
Affiliation:
Department of Mathematical Sciences, Northern Illinois UniversityDeKalb, Illinois 60115U.S.A.
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Abstract

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An inverse semigroup S is called E-unitary if the equations ea = e = e2 together imply a2 = a. In a previous paper the author showed that every inverse semigroup is an idempotent separating homomorphic image of an E-unitary inverse semigroup. The main question considered in this paper is the following. Given an inverse semigroup S give a method for constructing E-unitary inverse semigroups P and idempotent separating homomorphisms φ P → S in such a way that the structure of P as a P-semigroup is evident.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 2 , September 1976 , pp. 188 - 211
Copyright
Copyright © Australian Mathematical Society 1976

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