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

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, номер 1, страницы 83–98 (Mi basm567)

Morita contexts, preradicals and closure operators in modules

A. I. Kashu

Vladimir Andrunachievici Institute of Mathematics and Computer Science, Academiei 5 str., Kishinau, Moldova

Аннотация: The preradicals and closure operators in module categories are studied. The concordance is shown between the mappings connecting the classes of preradicals and of closure operators of two module categories $R$-Mod and $S$-Mod in the case of a Morita context $(R,{}_{R}U_{S}, {}_{S}V_{R},S)$, using the functors $Hom_{R}(U,-)$ and $Hom_{S}(V,-)$.

Ключевые слова и фразы: ring, module, category, preradical, closure operator, Morita context.

MSC: 16D90, 16S90

Язык публикации: английский

DOI: 10.56415/basm.y2022.i1.p83



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