Morita-like equivalence for fair semigroups

Year 2020, Volume: 49 Issue: 1, 19 - 29, 06.02.2020

Yang Li Hongxing Liu

https://doi.org/10.15672/HJMS.2018.648

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

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