Group identities on symmetric units.

DOI10.1016/j.jalgebra.2009.06.025zbMath1193.16027OpenAlexW2170017948MaRDI QIDQ1048215

Sudarshan K. Sehgal, Antonio Giambruno, Francisco César Polcino Milies

Publication date: 11 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.06.025

zbMATH Keywords

group algebrasinvolutionsgroup identitiessymmetric units

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) Units, groups of units (associative rings and algebras) (16U60)

Related Items (10)

Group and polynomial identities in group rings ⋮ Oriented group involutions in group algebras: a survey ⋮ Lie identities on symmetric elements of restricted enveloping algebras ⋮ Star-group identities and groups of units. ⋮ Group rings whose unitary units are nilpotent. ⋮ Star group identities on units of group algebras ⋮ Star-group identities on units of group algebras: the non-torsion case ⋮ *-Group identities on units of division rings ⋮ A Survey on *-Group Identities on Units of Group Rings ⋮ Nilpotency of group ring units symmetric with respect to an involution.

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• Unitary units in group algebras

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