On the group rings of Abelian minimax groups

DOI10.1006/jabr.2000.8579zbMath0989.20003OpenAlexW2035255688MaRDI QIDQ5936940

Daniel Segal

Publication date: 1 August 2002

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:f79c69f8-56d2-4c35-b997-872f134e36eb

zbMATH Keywords

finitely generated subgroupsgroup ringsannihilatorsAbelian minimax groupsintersections of maximal idealsquasi-residually finite modulesregular faithful prime idealssubdirect sums of primary modulestorsion subgroupsunmixed modules

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25)

Related Items (5)

On the group rings of Abelian minimax groups. II: The singular case. ⋮ On groups with countably many maximal subgroups ⋮ On certain methods of studying ideals in group rings of abelian groups of finite rank ⋮ Finitely generated groups with polynomial index growth ⋮ On modules of finite upper rank

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finitely generated groups of polynomial subgroup growth
• Remarks on injective specializations
• Uniform Finiteness Conditions in Residually Finite Groups
• On congruence topologies in number fields.
• On modules of finite upper rank
• The Nullstellensatz for Certain Group Rings

This page was built for publication: On the group rings of Abelian minimax groups