Geodesic
Closure operators in modules and adjoint functors,~II
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2018), pp. 101-112

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In this work we study the relations between the closure operators of two module categories connected by two adjoint contravariant functors. The present article is a continuation of the paper [1] (Part I), where the same question is investigated in the case of two adjoint covariant functors. An arbitrary bimodule $_RU_S$ defines a pair of adjoint contravariant functors $H_1=Hom_R(\text{-},U)\colon R\text{-}\mathrm{Mod}\to\mathrm{Mod}\text{-}S$ and $H_2=Hom_S(\text{-},U)\colon\mathrm{Mod}\text{-}S\to R\text{-}\mathrm{Mod}$ with two associated natural transformations and . In this situation we study the connections between the closure operators of the categories $R\text{-}\mathrm{Mod}$ and $\mathrm{Mod}\text{-}S$. 
@article{BASM_2018_2_a8,
     author = {A. I. Kashu},
     title = {Closure operators in modules and adjoint {functors,~II}},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {101--112},
     publisher = {mathdoc},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2018_2_a8/}
}
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A. I. Kashu. Closure operators in modules and adjoint functors,~II. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2018), pp. 101-112. http://geodesic.mathdoc.fr/item/BASM_2018_2_a8/