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Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, Number 1, Pages 109–122 (Mi basm497)  

Morita contexts and closure operators in modules

A. I. Kashu

Institute of Mathematics and Computer Science “Vladimir Andrunachievici”, 5 Academiei str. Chişinău, MD–20

Abstract: The relations between the classes of closure operators of two module categories $R$-Mod and $S$-Mod are studied in the case when an arbitrary Morita context $ (R, _R U_S, _S V_R,S)$ is given. By the functors $Hom_R(U,-)$ and $Hom_S(V,-)$ two mappings are defined between the closure operators of these categories. Basic properties of these mappings are investigated.

Keywords and phrases: functor, natural transformation, Morita context, closure operator.

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MSC: 16D10, 16D90, 16S90, 06A15
Received: 14.03.2019
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Citation: A. I. Kashu, “Morita contexts and closure operators in modules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 1, 109–122

Citation in format AMSBIB
\Bibitem{Kas19}
\by A.~I.~Kashu
\paper Morita contexts and closure operators in modules
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2019
\issue 1
\pages 109--122
\mathnet{http://mi.mathnet.ru/basm497}


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