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 SM ISO690:2012KASHU, A.. A survey of results on radicals and torsions in modules. In: Algebra and Discrete Mathematics, 2016, vol. 21, pp. 69-110. ISSN 1726-3255. |
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  Algebra and Discrete Mathematics |
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| Volumul 21 / 2016 / ISSN 1726-3255 | ||||||
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| Pag. 69-110 | ||||||
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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. |
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| Cuvinte-cheie (pre)radical, Adjoint functor, Closure operator, lattice, localization, module, Morita context, Ring, torsion |
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