Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the inverse operations in the class of preradicals of a module category, II
Authors: Ion Jardan
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Abstract
In the present work a new operation, called left coquotient with respect to meet, in the class of preradicals $\,\mathbb P \mathbb R\,$ of the category $R$-Mod of left $R$-modules is defined and investigated. It is dual to the studied earlier left quotient with respect to join [2]. Main properties of this operation and relations with lattice operations in $\,\mathbb P \mathbb R\,$ are shown. Connections with some constructions in the large complete lattice $\,\mathbb P \mathbb R\,$ are studied and some particular cases are mentioned.Technical University of Moldova
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
E-mail: ,
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
E-mail: ,
Fulltext
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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
