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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Morita-like equivalence for fair semigroups

Yang Lİ
Hongxing LİU
Pages
19–29
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, we investigate Morita context for right fair semigroups and obtain equivalence between two right unitary act categories.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we mainly investigate Morita-like equivalence and Morita context for right fair semigroups.
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Key Findings & Data: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.
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Conclusion & Impact:Also, we investigate Morita context for right fair semigroups and obtain equivalence between two right unitary act categories.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:fair semigroup · Morita equivalence · Morita context

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.

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Cite This Article

Lİ, Y., LİU, H. (2022). Morita-like equivalence for fair semigroups. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 19–29. https://ajindex.com/articles/529582

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