On Krull dimension of modules over group rings of minimax abelian groups

In this paper, we obtained some estimations of Krull dimension of modules over group rings of minimax abelian groups. We also consider relations between the condition of existing of small deviation for normal subgroups of a group and some previously studied chain conditions.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-07-18
DOI
https://doi.org/10.1142/s0219498826503068
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

On Krull dimension of modules over group rings of minimax abelian groups

A. V. Tushev
Journal of Algebra and Its Applications
Rings, Modules, and Algebras
article

On Krull dimension of modules over group rings of minimax abelian groups

A. V. Tushev
article en

Abstract

In this paper, we obtained some estimations of Krull dimension of modules over group rings of minimax abelian groups. We also consider relations between the condition of existing of small deviation for normal subgroups of a group and some previously studied chain conditions.

Journal of Algebra and Its Applications
Justus-Liebig-Universität Gießen (DE)
Openalex Percentile: Top 73%
Rings, Modules, and Algebras
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On Krull dimension of modules over group rings of minimax abelian groups — A. V. Tushev · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS