Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On strictly semiprime rings. (Russian)
Authors: Bunu I. D.
Abstract
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.Academia de Studii Economice
str. Capriana 55, bl. c, Chişinău, MD-2044 Moldova
str. Capriana 55, bl. c, Chişinău, MD-2044 Moldova
Contents
- Vladimir Aleksandrovich Andrunakievich. A tribute in honor of his 80th birthday.
- Quasiregular algebras, modules, groups and varieties. (Russian)
- A short survey on torsion theories in modules. (English)
- Independence and quasiregularity in algebras. II. (Romanian)
- On strictly semiprime rings. (Russian)
- On the nonmodularity of the lattice of group topologies. (Russian)
- Units, idempotents and nilpotents of an endomorphism ring. II. (English)
- On some lattices of quasivarieties of commutative Moufang's loops. (English)
- The connected component of the group of units of a locally compact ring. (English)
- Prime and primary ideals in near-rings. (English)
- On applications of the extremal words. (English)
- On sh-characteristic submodules. (English)
