Geodesic
On preradicals associated to principal functors of module categories. II
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 42-51 
A. I. Kashu. On preradicals associated to principal functors of module categories. II. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 42-51. http://geodesic.mathdoc.fr/item/BASM_2009_3_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Continuing part I (see [1]) the classes of modules and preradicals determined by the functor $U\otimes_{S^-}\colon S\text-Mod\to\mathcal Ab$ are studied, the relations between them are established and the conditions of coincidence of some preradicals are shown.

[1] Kashu A. I., “On preradicals associated to principal functors of modulle categories, I”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 2(60), 62–72 | MR | Zbl

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

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

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

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

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

[7] Kashu A. I., “On some bijections between ideals, classes of modules and preradicals of $R$-Mod”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2001, no. 2(36), 101–110 | MR | Zbl