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IMCS/Publications/BASM/Issues/BASM n.1 (44), 2004/

Rings over which some preradicals are torsions.

Authors: I.D. Bunu

Abstract

Let R be an associative ring with identity and z be a pretorsion such that its filter consists of the essential left ideals of the ring R. In this paper, it is proved that every preradical r >= z of R-Mod is a torsion if and only if the ring R is a finite direct sum of pseudoinjective simple rings.

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