Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Pretorsions in modules and associated closure operators
Authors: Caşu Alexei
– 0.19 Mb
Abstract
This article contains the results on the pretorsions of the module category R-Mod and on the closure operators defined by them. The pretorsions of R-Mod can be described in diverse forms: by classes of modules, filters of left ideals of R, closure operators, dense submodules, etc. In the set $\mathbb P \mathbb T$ of pretorsions of R-Mod the main operations are studied, as well as their expressions in terms of classes of modules, filters, operators, etc. The approximations of pretorsions by jansian pretorsions and by torsions are mentioned.Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str. Chisinau, MD−2028
Moldova
E-mail:
Academy of Sciences of Moldova
5 Academiei str. Chisinau, MD−2028
Moldova
E-mail:
Fulltext
– 0.19 Mb
Contents
- Vladimir A. Andrunachievici (1917 - 1997)
- Early History of the Theory of Rings in Novosibirsk
- Pretorsions in modules and associated closure operators
- Properties of accessible subrings of pseudonormed rings when taking quotient rings
- Radicals and generalizations of derivations
- Some examples of topological modules
- Unrefinable chains when taking the infimum in the lattice of ring topologies for a nilpotent ring
- On the inverse operations in the class of preradicals of a module category, II
- On LCA groups whose ring of continuous endomorphisms satisfies DCC on closed ideals
- The Lyapunov quantities and the center conditions for a class of bidimensional polynomial systems of differential equations with nonlinearities of the fourth degree
