More on the AR property and chain conditions in group rings

DOI10.1007/BF02761189zbMath0432.16008MaRDI QIDQ1138620

Patrick F. Smith

Publication date: 1980

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

zbMATH Keywords

weak Artin-Rees propertyaugmentation idealascending chain of subgroupsMax-sn*pnormal locally finite subgroupright fAR propertyupper central factor

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other classes of groups defined by subgroup chains (20F22) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (1)

Group rings of hyperabelian groups

Cites Work

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• The zero divisor conjecture for some solvable groups
• The AR property and chain conditions in group rings
• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente

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