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IMI/Publicaţii/BASM/Ediţii/BASM n.1(89), 2019/

Morita contexts and closure operators in modules

Authors: Caşu Alexei

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 $\,(R,\, _{\ind R}\,U_{\ind S},\, _{\ind S}V_{\ind R},S)$ is given. By the functors $Hom_{\ind R}(U,\mbox{-})\,$ and $Hom_{\ind S}(V,\mbox{-})\,$ two mappings are defined between the closure operators of these categories. Basic properties of these mappings are investigated.

Institute of Mathematics and Computer Science
“Vladimir Andrunachievici”
5 Academiei str. ChIsinau,
MD−2028, Moldova
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