Title

Uniform Bands

Document Type

Article

Language

eng

Format of Original

9 p.

Publication Date

10-2014

Publisher

Cambridge University Press

Source Publication

Proceedings of the Edinburgh Mathematical Society

Source ISSN

0013-0915

Original Item ID

doi: 10.1017/S0013091513000709

Abstract

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.

Comments

Proceedings of the Edinburgh Mathematical Society, Vol. 57, No. 3 (October 2014): 575-587. DOI.