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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