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Uniform Bands

Published online by Cambridge University Press:  18 July 2014

Justin Albert  and
Francis Pastijn
Justin Albert
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, USA, (justin.albert@marquette.edu; francis.pastijn@marquette.edu)
Francis Pastijn
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53233, USA, (justin.albert@marquette.edu; francis.pastijn@marquette.edu)
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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.

Keywords

banduniform bandorthodox semigroupbisimple semigroupvarietyPrimary 20M19Secondary 20M0720M1720M18
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 3 , October 2014 , pp. 575 - 587
Copyright
Copyright © Edinburgh Mathematical Society 2014 

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