Morita contexts, preradicals and closure operators in modules

A. I. Kashu

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

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

Keywords and phrases: ring, module, category, preradical, closure operator, Morita context.

MSC: 16D90, 16S90

Language: English

DOI: 10.56415/basm.y2022.i1.p83

Bibliographic databases:

•