IMI/Publicaţii/BASM/Ediţii/BASM n.1 (23), 1997/

On strictly semiprime rings. (Russian)

Authors: Bunu I. D.


Let $R$ - be an associative ring with identity and $z$ be a pretorsion, the filter of which consists from the essentially left ideals of a ring $R$. It was proved that all the pretorsions $r \geq z$ of the category of unital left $R$ - modules are pretorsions if and only if the ring $R$ is the strictly semiprime.

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