Characterizations of strong Morita equivalence for ordered semigroups with local units
Lauri Tart · Mathematica Slovaca · 2014
Abstract We prove that partially ordered semigroups S and T with local units are strongly Morita equivalent if and only if there exists a surjective strict local isomorphism to T from a factorizable Rees matrix posemigroup over S. We also provide two similar descriptions which use Cauchy completions and Morita posemigroups instead.