Morita-like equivalence for fair semigroups

Authors : Yang Lİ, Hongxing LİU

Pages : 19-29

Doi:10.15672/HJMS.2018.648

View : 14 | Download : 6

Publication Date : 2020-02-06

Article Type : Research Paper

Abstract :In this paper, we mainly investigate Morita-like equivalence and Morita context for right fair semigroups. If two right fair semigroups $S$ and $T$ are Morita-like equivalent, that is, there is a category equivalence $F:US-Act\rightleftharpoons:UT-Act:G,$  we characterize the two functors $F$ and $G$ using $Hom$ functor and tense product functor. Also, we investigate Morita context for right fair semigroups and obtain equivalence between two right unitary act categories.
Keywords : fair semigroup, Morita equivalence, Morita context, equivalence, functor