The AR property and chain conditions in group rings

DOI10.1007/BF02764910zbMath0399.16004MaRDI QIDQ1254593

Patrick F. Smith

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Augmentation IdealChain Conditions in Group RingsGroup RingHypercentral GroupWeak Ar Property

Mathematics Subject Classification ID

Group rings (16S34) Chains and lattices of subgroups, subnormal subgroups (20E15) Abelian groups (20K99)

Related Items (4)

On the structure of certain injective modules over group algebras of soluble groups of finite rank ⋮ More on the AR property and chain conditions in group rings ⋮ Group rings of hyperabelian groups ⋮ Localization in non-noetherian group rings

Cites Work

• Idempotent elements and ideals in group rings and the intersection theorem
• Prime ideals and localization in commutative group rings
• The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups
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