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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, Number 1, Pages 109–122
(Mi basm497)
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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
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
Citation:
A. I. Kashu, “Morita contexts and closure operators in modules”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2019, no. 1, 109–122
Linking options:
https://www.mathnet.ru/eng/basm497 https://www.mathnet.ru/eng/basm/y2019/i1/p109
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Abstract page: | 209 | Full-text PDF : | 70 | References: | 31 |
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