Group rings whose set of symmetric elements is Lie metabelian.

DOI10.1515/forum-2013-0181zbMath1346.16020OpenAlexW2126519174WikidataQ115236424 ScholiaQ115236424MaRDI QIDQ889598

Osnel Broche, Ángel Del Río, Manuel Ruiz Marin

Publication date: 9 November 2015

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2680d13df266c4f8251f7406e9f7293f03fa2d5c

zbMATH Keywords

involutionsgroup ringssymmetric elementsLie identitiesLie metabelian group algebras

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

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Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian

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