Centers and prime ideals in group algebras of polycyclic-by-finite groups

DOI10.1016/0021-8693(79)90228-XzbMath0415.16008MaRDI QIDQ599880

Martin Lorenz, Donald S.Passman

Publication date: 1979

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

zbMATH Keywords

Hirsch numberpolycyclic-by-finite groupcentral rankintersection formulasintersection of almost faithful prime ideals

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) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (7)

The Ideal Intersection Property for Groupoid Graded Rings ⋮ Commutativity and ideals in pre-crystalline graded rings. ⋮ Commutativity and ideals in strongly graded rings. ⋮ The semicentre of a group algebra ⋮ Primitive ideals of certain Noetherian algebras ⋮ The heart of prime ideals in Ore extensions ⋮ Primitive localizations of group algebras of polycyclic-by-finite groups

Cites Work

• Unnamed Item
• Primideale in Einhüllenden auflösbarer Lie-Algebren (Beschreibung durch Bahnenräume)
• Primitive ideals of group algebras of supersoluble groups
• Induced Representations of Polycyclic Groups
• Observations on group rings
• Completely prime primitive ideals in group algebras of finitely generated nilpotent-by-finite groups
• Finitely Embedded Modules Over Group Rings
• Prime Ideals in Group Rings of Polycyclic Groups
• Radicals of Twisted Group Rings

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