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IMI/Publicaţii/BASM/Ediţii/BASM n1(98), 2022/

Morita Contexts, Predicals and Closure Operators in Modules

Authors: Caşu Alexei
Keywords: ring, module, category, preradical, closure operator, Morita context

Abstract

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 $(R,\, _{\ind R}\,U_{\ind S},\, _{\ind S}V_{\ind R},S)$, using the functors $Hom_{\ind R}(U,\mbox{-})$ and $Hom_{\ind S}(V,\mbox{-})$.

Vladimir Andrunachievici Institute of Mathematics
and Computer Science, Academiei 5 str.,
Kishinau, Moldova
E-mail:

DOI

https://doi.org/10.56415/basm.y2022.i1.p83

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