Geodesic
On preradicals associated to principal functors of module categories. III
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2010), pp. 55-64 
A. I. Kashu. On preradicals associated to principal functors of module categories. III. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2010), pp. 55-64. http://geodesic.mathdoc.fr/item/BASM_2010_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The classes of modules and preradicals associated to the functor $Hom_R(-,U)$ are studied, continuing the investigations of parts I and II. The properties of classes of modules and of associated preradicals are shown, as well as the relations between preradicals. A similarity with the case of functor $T=U\otimes_{S^-}$ is explained.

[1] Kashu A. I., “On preradicals associated to principal functors of module categories. I”, Bul. A.Ş.R.M. Matematica, 2009, no. 2(60), 62–72 | MR | Zbl

[2] Kashu A. I., “On preradicals associated to principal functors of module categories. II”, Bul. A.Ş.R.M. Matematica, 2009, no. 3(61), 42–51 | MR | Zbl

[3] Kashu A. I., Functors and torsions in categories of modules, Acad. of Sciences of RM, Inst. of Math., Chişinău, 1997 (in Russian) | MR

[4] Bican L., Kepka P., Nemec P., Rings, modules and preradicals, Marcel Dekker, New York, 1982 | MR | Zbl

[5] Golan J. S., Torsion theories, Longman Sci. Techn., New York, 1986 | MR | Zbl

[6] Kashu A. I., Radicals and torsions in modules, Ştiinţa, Chişinău, 1983 (in Russian) | MR

[7] Stenström B., Rings of quotients, Springer Verlag, Berlin, 1975 | MR | Zbl

[8] Kashu A. I., “When the radical associated to module is a torsion”, Mat. Zametki, 16:1 (1974), 41–48 (in Russian) | MR | Zbl