Idempotents in group rings

DOI10.1016/0022-4049(80)90017-1zbMath0433.16013OpenAlexW2008120980MaRDI QIDQ5904359

Alfred Weiss

Publication date: 1980

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(80)90017-1

zbMATH Keywords

polycyclic-by-finite groupfinitely generated projective RG-moduleidempotent in the group ring

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Conditions on elements (16U99)

Related Items (9)

Unnamed Item ⋮ Torsion units in integral group rings of nilpotent metabelian groups ⋮ Group algebras. ⋮ Algebraic Elements in Group Rings ⋮ Partial augmentations and jordan decomposition in group ring ⋮ On partial augmentations of elements in integral group rings ⋮ Bounds for the number of idempotents in finite rings ⋮ Ranks of projective modules of group rings ⋮ On the trace of idempotent matrices over group algebras.

Cites Work

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• Euler characteristics and characters of discrete groups
• On the Trace of an Idempotent in a Group Ring
• Rank Element of a Projective Module
• Left and right inverses in group algebras
• Idempotents in Noetherian Group Rings

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