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primary 20m19

Proceedings of the Edinburgh Mathematical Society (1)

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Uniform Bands
Justin Albert, Francis Pastijn
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 3 / October 2014

Published online by Cambridge University Press:

18 July 2014, pp. 575-587
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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.