Lie *-Nilpotence of Group Rings
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Publication:5417947
DOI10.1080/00927872.2013.820737zbMath1309.16016OpenAlexW2070961663MaRDI QIDQ5417947
Publication date: 23 May 2014
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2013.820737
group algebrasinvolutionssymmetric elementsskew symmetric elementsLie solvable group ringsLie nilpotent group rings
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)
Cites Work
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- Star-group identities and groups of units.
- Lie properties of symmetric elements in group rings. II.
- Lie properties of symmetric elements in group rings.
- Identities in rings with involutions
- Group identities on units and symmetric units of group rings.
- Lie nilpotence of group rings
- Group rings whose symmetric elements are Lie nilpotent
- Lie Solvable Group Rings
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