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Idempotent-separating extensions of regular semigroups with Abelian kernel

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

M. Loganathan
M. Loganathan
Affiliation:
Ramanujan Institute of Mathematics, University of Madras, Madras-600 005, India
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Abstract

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Let S be a regular semigroup and D(S) its associated category as defined in Loganathan (1981). We introduce in this paper the notion of an extension of a D(S)-module A by S and show that the set Ext(S, A) of equivalence classes of extensions of A by S forms an abelian group under a Baer sum. We also study the functorial properties of Ext(S, A).

MSC classification

Secondary: 20M50: Connections of semigroups with homological algebra and category theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 32 , Issue 1 , January 1982 , pp. 104 - 113
Copyright
Copyright © Australian Mathematical Society 1982

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