Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A short survey on torsion theories in modules. (English)
Authors: Caşu Alexei
Abstract
The article is a survey of results in the domain of torsion thiories in categories of modules. The main problems discussed in this work are: lattises of torsions and pretorsions, localizations and canonical morphisms, torsions in adjoint situations and in Morita contexts, lattices of submodules.Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova
str. Academiei 5, Chişinău, MD-2028 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)
