Euclidean Combinatorial Configurations: Typology, Continuous Extensions and Representations

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 $Hom_{\ind S}(V,\mbox{-})$.