@article{article_504552, title={Morita-like equivalence for fair semigroups}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={49}, pages={19–29}, year={2020}, DOI={10.15672/HJMS.2018.648}, author={Li, Yang and Liu, Hongxing}, keywords={fair semigroup,Morita equivalence,Morita context,equivalence,functor}, 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.}, number={1}, publisher={Hacettepe University}