Morita equivalence of semigroups with local units

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24 Citations (Scopus)

Abstract

We prove that two semigroups with local units are Morita equivalent if and only if they have a joint enlargement. This approach to Morita theory provides a natural framework for understanding McAlister's theory of the local structure of regular semigroups. In particular, we prove that a semigroup with local units is Morita equivalent to an inverse semigroup precisely when it is a regular locally inverse semigroup. © 2010 Elsevier B.V.

Original languageEnglish
Pages (from-to)455-470
Number of pages16
JournalJournal of Pure and Applied Algebra
Volume215
Issue number4
DOIs
Publication statusPublished - Apr 2011

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