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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 1, Pages 109–122 (Mi basm497)  

This article is cited in 1 scientific paper (total in 1 paper)

Morita contexts and closure operators in modules

A. I. Kashu

Institute of Mathematics and Computer Science “Vladimir Andrunachievici”, 5 Academiei str. Chişinău, MD–20
Full-text PDF (227 kB) Citations (1)
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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.
Received: 14.03.2019
Document Type: Article
Language: English
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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  • https://www.mathnet.ru/eng/basm497
  • https://www.mathnet.ru/eng/basm/y2019/i1/p109
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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    Abstract page:192
    Full-text PDF :53
    References:14
     
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