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Some covering theorems for locally inverse semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

D. B. McAlister
D. B. McAlister
Affiliation:
Department of Mathematical SciencesNorthern Illinois UniversityDeKalb, Illinois 60115, U.S.A.
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Abstract

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A regular semigroup S is said to be locally inverse if each local submonoid eSe, with e an idempotent, is an inverse semigroup. In this paper we apply known covering theorems for inverse semigroups and a covering theorem for locally inverse semigroups due to the author to obtain some covering theorems for locally inverse semigroups. The techniques developed here permit us to give an alternative proof for, and sligbt strengthening of, an important covering theorem for locally inverse semigroups due to F. Pastijn.

MSC classification

Secondary: 20M10: General structure theory

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 1 , August 1985 , pp. 63 - 74
Copyright
Copyright © Australian Mathematical Society 1985

References

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