Star-group identities and groups of units.

DOI10.1007/s00013-010-0195-0zbMath1216.16024OpenAlexW2108344014MaRDI QIDQ616139

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

Publication date: 7 January 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0195-0

zbMATH Keywords

group algebrasinvolutionsgroups of unitspolynomial identitiesrings with involutiongroup identitiesstar identities

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 (12)

Group and polynomial identities in group rings ⋮ 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 ⋮ Products of unipotent elements in certain algebras ⋮ Quantum double models coupled to matter fields: A detailed review for a dualization procedure ⋮ *-Group identities on units of division rings ⋮ A Survey on *-Group Identities on Units of Group Rings ⋮ Lie *-Nilpotence of Group Rings ⋮ Algebras whose units satisfy a \(*\)-Laurent polynomial identity ⋮ Additive mappings and identities on unit groups of algebraic algebras ⋮ Free groups with involution satisfying a \(*\)-group identity.

Cites Work

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• Group algebras with units satisfying a group identity II
• Group algebras whose units satisfy a group identity
• Group algebras whose units satisfy a group identity. II
• On Symmetric Elements and Symmetric Units in Group Rings

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