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REES MATRIX COVERS FOR A CLASS OF SEMIGROUPS WITH LOCALLY COMMUTING IDEMPOTENTS
Published online by Cambridge University Press: 20 January 2009
Abstract
McAlister proved that every regular locally inverse semigroup can be covered by a regular Rees matrix semigroup over an inverse semigroup by means of a homomorphism which is locally an isomorphism. We generalize this result to the class of semigroups with local units whose local submonoids have commuting idempotents and possessing what we term a ‘McAlister sandwich function’.
AMS 2000 Mathematics subject classification: Primary 20M10. Secondary 20M17
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 1 , February 2001 , pp. 173 - 186
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- Copyright © Edinburgh Mathematical Society 2001
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