Geodesic
A survey of results on radicals and torsions in modules
Algebra and discrete mathematics, Tome 21 (2016) no. 1, pp. 69-110

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work basic results of the author on radicals in module categories are presented in a short form. Principal topics are: types of preradicals and their characterizations; classes of $R$-modules and sets of left ideals of $ R$; notions and constructions associated to radicals; rings of quotients and localizations; preradicals in adjoint situation; torsions in Morita contexts; duality between localizations and colocalizations; principal functors and preradicals; special classes of modules; preradicals and operations in the lattices of submodules; closure operators and preradicals.
Keywords: ring, lattice, (pre)radical, localization, adjoint functor, closure operator.
Mots-clés : module, torsion, Morita context 
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A. I. Kashu. A survey of results on radicals and torsions in modules. Algebra and discrete mathematics, Tome 21 (2016) no. 1, pp. 69-110. http://geodesic.mathdoc.fr/item/ADM_2016_21_1_a6/