English

Morita equivalence of inverse semigroups

Rings and Algebras 2011-04-14 v1

Abstract

We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over the inverse semigroup where the sandwich matrix satisfies what we call the McAlister conditions.

Keywords

Cite

@article{arxiv.1104.2460,
  title  = {Morita equivalence of inverse semigroups},
  author = {B Afara and M V Lawson},
  journal= {arXiv preprint arXiv:1104.2460},
  year   = {2011}
}