A note on the support of units in group rings

DOI10.1016/0022-4049(88)90140-5zbMath0648.16008OpenAlexW1987132493MaRDI QIDQ1105006

Peter Pappas

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90140-5

zbMATH Keywords

Jacobson radicalindecomposable modulesArtinian ringssupportunitcharacteristic zeroright peak ringdifferentiation proceduresfinitely generated socle projective modulessemisimplicity of group ringsvector space category

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Units, groups of units (associative rings and algebras) (16U60)

Related Items

A note on bounding units in group algebras ⋮ \(K\)-theory of fine topological algebras, Chern character, and assembly

Cites Work

• Ultraproducts and approximation in local rings. I
• Gromov's theorem on groups of polynomial growth and elementary logic
• Observations on group rings