This article is cited in 1 paper

Morita contexts and closure operators in modules

A. I. Kashu

Institute of Mathematics and Computer Science “Vladimir Andrunachievici”, 5 Academiei str. Chişinău, MD–20

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 $~(R,{}_R U_S,~{}_S V_R,S)$ is given. By the functors $Hom_R(U,-)$ and $Hom_S(V,-)$ two mappings are defined between the closure operators of these categories. Basic properties of these mappings are investigated.

Keywords and phrases: functor, natural transformation, Morita context, closure operator.

MSC: 16D10, 16D90, 16S90, 06A15

Received: 14.03.2019

Language: English