On the relations between the central factor-module and the derived submodule in modules over group rings

DOI10.14712/1213-7243.2015.136zbMath1345.20008OpenAlexW2238046312MaRDI QIDQ3466211

V. A. Chupordya, Igor Ya. Subbotin, Leonid A. Kurdachenko

Publication date: 1 February 2016

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2015.136

zbMATH Keywords

integral domainsSchur theoremcomposition seriesBaer theoremgeneralized soluble groupsmodules over group rings of infinite groupsranks of sectionsscalar rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Groups of module automorphisms and Krull dimension and codimension ⋮ Groups of module automorphisms of finite rank ⋮ On the relationships between the factors of upper and lower central series in groups and other algebraic structures

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