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

TL;DR

This paper investigates the Krull dimension of modules over group rings of minimax abelian groups, providing estimations and exploring relations with chain conditions and subgroup deviations.

Contribution

It offers new estimations of Krull dimension and analyzes the connection between subgroup deviation conditions and chain conditions in minimax abelian groups.

Findings

Provided bounds for Krull dimension of modules

Established links between subgroup deviations and chain conditions

Enhanced understanding of module structure over minimax abelian group rings

Abstract

In the 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 and some previously studied chain conditions.