Geodesic
On preradicals associated to principal functors of module categories, I
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2009), pp. 62-72 
A. I. Kashu. On preradicals associated to principal functors of module categories, I. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2009), pp. 62-72. http://geodesic.mathdoc.fr/item/BASM_2009_2_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The preradicals associated to the functor $Hom_R(U,-)\colon R\text-Mod\to\mathcal Ab$ are revealed, their properties and the relations between these preradicals are studied.

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

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

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

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

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

[6] Kashu A. I., “On some bijections between ideals, classes of modules and preradicals of $R$-Mod”, Bulet. A. Ş. R. M. Matematica, 2001, no. 2(36), 101–110 | MR | Zbl