Geodesic
Rings over which some preradicals are torsions
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2004), pp. 40-45 
I. D. Bunu. Rings over which some preradicals are torsions. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2004), pp. 40-45. http://geodesic.mathdoc.fr/item/BASM_2004_1_a4/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $r\ge z$ 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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