Morita equivalence based on Morita context for arbitrary semigroups

Authors : Hongxing LİU

Pages : 1083-1090

View : 16 | Download : 2

Publication Date : 2016-08-01

Article Type : Research Paper

Abstract :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 $insert ignore into journalissuearticles values(S, T, P, Q, \tau, \mu);$ insert ignore into journalissuearticles values(not necessary unital); such that the maps $\tau$ and $\mu$ 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.
Keywords : semigroup, Morita context, functor, category, S act