- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 1
- Morita-like equivalence for fair semigroups
Morita-like equivalence for fair semigroups
Authors : Yang Li, Hongxing Liu
Pages : 19-29
Doi:10.15672/HJMS.2018.648
View : 9 | Download : 3
Publication Date : 2020-02-06
Article Type : Research
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