Morita equivalence based on Morita context for arbitrary semigroups
Hongxing Liu · Hacettepe Journal of Mathematics and Statistics · 2016
In this paper, we study the Morita context for arbitrary semigroups.We prove that, for two semigroups S and T, if there exists a Morita context (S, T, P, Q, τ, µ) (not necessary unital) such that the maps τ and µ are surjective, the categories U S-FAct and U T -FAct are equivalent.Using this result, we generalize Theorem 2 in [2] to arbitrary semigroups.Finally, we give a characterization of Morita context for semigroups.