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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

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

Эта публикация цитируется в 1 статье

Morita contexts and closure operators in modules

A. I. Kashu

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

Аннотация: 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.

Ключевые слова и фразы: functor, natural transformation, Morita context, closure operator.

MSC: 16D10, 16D90, 16S90, 06A15

Поступила в редакцию: 14.03.2019

Язык публикации: английский



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