A note on idempotent ideals in group rings

DOI10.1007/BF01224636zbMath0318.16003OpenAlexW2000473944MaRDI QIDQ1222216

Patrick F. Smith

Publication date: 1976

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224636

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Group rings (16S34) Commutative Noetherian rings and modules (13E05) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Conditions on elements (16U99) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (5)

Unnamed Item ⋮ Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclic-by-finite groups. ⋮ Characterization of knot complements in the 4-sphere ⋮ Associative rings ⋮ Groups rings: an annotated questionnaire

Cites Work

• Unnamed Item
• Projective modules
• Idempotent elements and ideals in group rings and the intersection theorem
• Integral group rings of solvable finite groups have no idempotent ideals
• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• Big projective modules are free
• The Grothendieck ring of a finite group
• A Note on Hypercentral Group Rings
• Central Idempotents in Group Rings
• Finiteness Conditions for Soluble Groups

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