Перегляд за автором "Kashu, A.I."

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Adjoint functors, preradicals and closure operators in module categories

Kashu, A.I. (Algebra and Discrete Mathematics, 2019)

In this article preradicals and closure operators are studied in an adjoint situation, defined by two covariant functors between the module categories R-Mod and S-Mod. The mappings which determine the relationship between ...
A survey of results on radicals and torsions in modules

Kashu, A.I. (Algebra and Discrete Mathematics, 2016)

In this work basic results of the author on radicals in module categories are presented in a short form. Principal topics are: types of preradicals and their characterizations; classes of R-modules and sets of left ideals ...
Closure operators in modules and adjoint functors, I

Kashu, A.I. (Algebra and Discrete Mathematics, 2018)

In the present work the relations between the closure operators of two module categories are investigated in the case when the given categories are connected by two covariant adjoint functors H: R-Mod → S-Mod and T : S-Mod ...
Closure operators in the categories of modules. Part II (Hereditary and cohereditary operators)

Kashu, A.I. (Algebra and Discrete Mathematics, 2013)

This work is a continuation of the paper [1] (Part I), in which the weakly hereditary and idempotent closure operators of the category R-Mod are described. Using the results of [1], in this part the other classes of closure ...
Closure operators in the categories of modules. Part I (Weakly hereditary and idempotent operators)

Kashu, A.I. (Algebra and Discrete Mathematics, 2013)

In this work the closure operators of a category of modules R-Mod are studied. Every closure operator C of R-Mod defines two functions F₁с and F₂с, which in every module M distinguish the set of C-dense submodules F₁с(M) ...
On equivalence of some subcategories of modules in Morita contexts

Kashu, A.I. (Algebra and Discrete Mathematics, 2003)
On equivalence of some subcategories of modules in Morita contexts

Kashu, A.I. (Algebra and Discrete Mathematics, 2003)
On inverse operations in the lattices of submodules

Kashu, A.I. (Algebra and Discrete Mathematics, 2012)

In the lattice L(RM) of submodules of an arbitrary left R-module RM four operation were introduced and investigated in the paper [3]. In the present work the approximations of inverse operations for two of these operations ...
Preradicals and characteristic submodules: connections and operations

Kashu, A.I. (Algebra and Discrete Mathematics, 2010)

For an arbitrary module M∈R-Mod the relation between the lattice Lch(RM) of characteristic (fully invariant) submodules of M and big lattice R-pr of preradicals of R-Mod is studied. Some isomorphic images of Lch(RM) in ...
Preradicals, closure operators in R-Mod and connection between them

Kashu, A.I. (Algebra and Discrete Mathematics, 2014)

For a module category R-Mod the class PR of preradicals and the class CO of closure operators are studied. The relations between these classes are realized by three mappings: Φ : CO → PR and Ψ₁, Ψ₂ : PR → CO. The impact ...

Результати 1-10 з 10

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Перегляд за автором "Kashu, A.I."

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