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.