Invertible and nilpotent elements in the group algebra of a unique product group.

DOI10.1007/s10440-008-9370-8zbMath1189.16023OpenAlexW2077990538MaRDI QIDQ1043833

Erhard Neher

Publication date: 9 December 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9370-8

zbMATH Keywords

nilpotent elementsgroup ringsunique product groupsnil radicaltrivial unitsu.p. groupszero-divisor free rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Diagonal-preserving isomorphisms of étale groupoid algebras ⋮ The Br = Br' question for some classifying stacks ⋮ On Newton polytopes of Lagrangian augmentations ⋮ Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects ⋮ A difference ring theory for symbolic summation

Cites Work

• UNITS AND ISOMORPHISM IN GROUP RINGS
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