Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Rings over which some preradicals are torsions.
Authors: I.D. Bunu
– 0.11 Mb
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.ASEM,
str.Banulescu Bodoni, 59
Chisinau, MD-2005 Moldova
E-mail:
str.Banulescu Bodoni, 59
Chisinau, MD-2005 Moldova
E-mail:
Fulltext
– 0.11 Mb
Contents
- On overnilpotent radicals of topological rings.
- Semitopological isomorphism of topological groups.
- Special radicals of graded rings.
- Generating properties of biparabolic invertible polynomial maps in three variables.
- Rings over which some preradicals are torsions.
- Transfer properties in radical theory.
- Exponent matrices and their quivers.
- Radicals of rings with involution.
- Radicals around Kothe's problem.
- Wedderburn decomposition of LCM-rings.
- Totally bounded rings and their groups of units.
- The radical theory of convolution rings.
- Artinal special Lie superalgebras.
- The classification of GL(2,R)-orbits' dimensions for system s(0, 2) and the factorsystem s(0, 1,2)/GL(2,R).
