The Nullstellensatz for Certain Group Rings

DOI10.1112/jlms/s2-26.3.425zbMath0511.16011OpenAlexW2072000059MaRDI QIDQ4749967

Kenneth A. Brown

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-26.3.425

zbMATH Keywords

polycyclic-by-finite groupsnilpotent groupsannihilatorsirreducible modulesJacobson ringHirsch numberHilbert's NullstellensatzU-grouppolycyclic subgroupsgroup rings of locally finite groupslocally Noetherian group ringsU*-group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Noetherian rings and modules (associative rings and algebras) (16P40)

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