On a class of modules that are close to Noetherian.

DOI10.1007/S10958-010-0064-1zbMath1238.20051OpenAlexW2148090482MaRDI QIDQ548762

Olga Yu. Dashkova

Publication date: 30 June 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0064-1

zbMATH Keywords

soluble groupsgroup ringslocally soluble groupsNoetherian modulesAbelian section rankspecial rank

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• Linear groups with rank restrictions on the subgroups of infinite central dimension.
• The Schur property and groups with uniform conjugacy classes
• Radical groups of finite Abelian subgroup rank

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