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Coextensions of pseudo-Inverse semigroups by rectangular bands

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

John Meakin
John Meakin
Affiliation:
Department of Mathematics and Statistics, University of Nebraska, Lincoln, NE 68588, U.S.A. Department of Mathematics, University of Kerala, Kariavattom 695581, India
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Abstract

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We say that a regulär semigroup S is a coetension of a (regular) semigroup T by rectangular bands if there is a homomorphism ϕ: S → T from S onto T such that, for each e = e2 ∈ S, e(ϕ ϕ-1) is a rectangular band. Regular semigroups which are coextesions of pseudo-inverse semigroups by rectangular bands may be characterized as those regular semigroups S with the property that, for each e = e2 ∈ S, ω(e) = {f = f2 ∈ S: ef = f} and ωl(e) = {f = f2 ∈ S: fe = f} are bands: this paper is concerned with a study of such semigroups.

MSC classification

Secondary: 20M10: General structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 30 , Issue 1 , September 1980 , pp. 73 - 86
Copyright
Copyright © Australian Mathematical Society 1980

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