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Idempotent-separating extensions of regular semigroups with Abelian kernel
Published online by Cambridge University Press: 09 April 2009
Abstract
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).
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- Research Article
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- Copyright © Australian Mathematical Society 1982
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