Morita Equivalence of Semigroups with Locally Commuting Idempotents
B. Afara, Mark V. Lawson · Communications in Algebra · 2012
We characterize those semigroups with local units which are Morita equivalent to semigroups with local units having commuting idempotents. A key element in this characterization is a description of those inverse categories which are equivalent to Cauchy completions of inverse semigroups.