Format of Original
Cambridge University Press
Proceedings of the Edinburgh Mathematical Society
Original Item ID
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.
Albert, Justin and Pastijn, Francis, "Uniform Bands" (2014). Mathematics, Statistics and Computer Science Faculty Research and Publications. 255.
Proceedings of the Edinburgh Mathematical Society, Vol. 57, No. 3 (October 2014): 575-587. DOI.