Morita equivalence of semigroups with local units
Rings and Algebras
2010-03-30 v2
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.
Keywords
Cite
@article{arxiv.0904.3848,
title = {Morita equivalence of semigroups with local units},
author = {Mark V. Lawson},
journal= {arXiv preprint arXiv:0904.3848},
year = {2010}
}
Comments
Some typos were corrected and the paper was mildly reorganized.