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Cohomology and extensions of regular semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

M. Loganathan
M. Loganathan
Affiliation:
Ramanujan Institute for Advanced Study in MathematicsUniversity of MadrasMadras-600 005, India
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Abstract

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Let S be a regular semigroup and A a D(S)-module. We proved in a previous paper that the set Ext(S, A) of equivalence classes of extensions of A by S admits an abelian group structure and studied its functorial properties. The main aim of this paper is to describe Ext(S, A) as a second cohomology group of certain chain complex.

MSC classification

Secondary: 20M50: Connections of semigroups with homological algebra and category theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 2 , October 1983 , pp. 178 - 193
Copyright
Copyright © Australian Mathematical Society 1983

References

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