Class groups and automorphism groups of group rings

DOI10.1017/S0017089500006376zbMath0579.16006OpenAlexW2006604636MaRDI QIDQ3701579

Kenneth A. Brown

Publication date: 1986

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500006376

zbMATH Keywords

Jacobson radicalgroup ringpolycyclic-by-finite groupFC-centersimple Artinian quotient ringcommutative Noetherian domaincentral class groupprime Noetherian maximal orderreflexive S-ideals

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Automorphisms and endomorphisms (16W20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Localization and associative Noetherian rings (16P50) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (1)

Height-one prime ideals in semigroup algebras satisfying a polynomial identity

Cites Work

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• Crossed products over prime rings
• Cohomological topics in group theory.
• Subrings of Artinian and Noetherian rings

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