Lie centrally metabelian group rings

DOI10.1016/0021-8693(92)90123-4zbMath0788.16019OpenAlexW2033020941WikidataQ115365365 ScholiaQ115365365MaRDI QIDQ1208096

J. B. Srivastava, Rajendra K. Sharma

Publication date: 16 May 1993

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90123-4

zbMATH Keywords

unit groupLie solvablecommutator subgroupassociated Lie ringLie multiplicationfinite 3-Engel 3-groupLie centrally metabelian group rings

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derived series, central series, and generalizations for groups (20F14) Engel conditions (20F45) Units, groups of units (associative rings and algebras) (16U60)

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Cites Work

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• On the Lie ideals of a ring
• On Lie nilpotent group rings
• Engelsche Elemente der Länge drei. (Engel elements of length three.)
• Lie Solvable Rings
• Lie Solvable Group Rings
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