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Morita Contexts, Preradicals and Closure Operators in Modules
Authors: Caşu Alexei
Keywords: ring, module, category, preradical, closure operator, Morita context
– 0.20 Mb
Keywords: ring, module, category, preradical, closure operator, Morita context
Abstract
The preradicals and closure operators in module categories are studied. The concordance is shown between the mappings connecting the classes of preradicals and of closure operators of two module categories $R$-Mod and $S$-Mod in the case of a Morita context $(R,\, _{\ind R}\,U_{\ind S},\, _{\ind S}V_{\ind R},S)$, using the functors $Hom_{\ind R}(U,\mbox{-})$ and $Hom_{\ind S}(V,\mbox{-})$.Vladimir Andrunachievici Institute of Mathematics
and Computer Science, Academiei 5 str.,
Kishinau, Moldova
E-mail:
and Computer Science, Academiei 5 str.,
Kishinau, Moldova
E-mail:
DOI
https://doi.org/10.56415/basm.y2022.i1.p83Fulltext
– 0.20 Mb
Contents
- Continuous Extensions On Euclidean Combinatorial Configurations
- Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation
- Different Types of Compact Global Attractors for Cocycles with a Noncompact Phase Space of Driving System and the Relationship Between Them
- A New Method for Developing Signature Algorithms on Finite Non-commutative Algebras
- Properties of coverings in lattices of ring topologies
- Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game
- Morita Contexts, Preradicals and Closure Operators in Modules
- A self--similar solution and the tanh--function method for the kinetic Carleman system
