Group algebras with symmetric units satisfying a group identity.

DOI10.1007/s00229-005-0610-1zbMath1088.16023OpenAlexW2079088339MaRDI QIDQ818644

Sudarshan K. Sehgal, Angela Valenti

Publication date: 21 March 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-005-0610-1

zbMATH Keywords

idempotentsgroup identitiessymmetric unitsunits in group rings

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

Related Items

Group and polynomial identities in group rings, Group rings whose symmetric units are nilpotent, 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 Rings Whose Symmetric Units Generate ann-Engel Group, A Survey on *-Group Identities on Units of Group Rings, Nilpotency of group ring units symmetric with respect to an involution., Group Rings Whose Symmetric Units are Solvable, Additive mappings and identities on unit groups of algebraic algebras

Cites Work

• Symmetric units and group identities
• Group identities on units of rings
• An introduction to group rings
• Group identities on units of group algebras
• Identities in rings with involutions
• Group algebras with units satisfying a group identity
• 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
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