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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2010, Number 1, Pages 55–64 (Mi basm249)  

This article is cited in 1 scientific paper (total in 1 paper)

Research articles

On preradicals associated to principal functors of module categories. III

A. I. Kashu

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
Full-text PDF (188 kB) Citations (1)
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Abstract: 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.
Keywords and phrases: preradical, torsion, torsion class, torsionfree class, idempotent radical.
Received: 07.04.2009
Bibliographic databases:
Document Type: Article
MSC: 16D90, 16S90, 16D40
Language: English
Citation: A. I. Kashu, “On preradicals associated to principal functors of module categories. III”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 1, 55–64
Citation in format AMSBIB
\Bibitem{Kas10}
\by A.~I.~Kashu
\paper On preradicals associated to principal functors of module categories.~III
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2010
\issue 1
\pages 55--64
\mathnet{http://mi.mathnet.ru/basm249}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676573}
\zmath{https://zbmath.org/?q=an:1203.16007}
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