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Uniform Bands

Published online by Cambridge University Press:  18 July 2014

Justin Albert
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, USA, ([email protected]; [email protected])
Francis Pastijn
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, USA, ([email protected]; [email protected])
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Abstract

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A semigroup B in which every element is an idempotent can be embedded into such a semigroup B′, where all the local submonoids are isomorphic, and in such a way that B and B′ satisfy the same equational identities. In view of the properties preserved under this embedding, a corresponding embedding theorem is obtained for regular semigroups whose idempotents form a subsemigroup.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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