Exponents of identities of group rings.

DOI10.1134/S0001434611050014zbMath1245.16017OpenAlexW2033833051MaRDI QIDQ650474

Oksana Bezushchak, Mikhail V. Zaicev

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611050014

zbMATH Keywords

group algebrasfinite groupsgraded algebrasLie algebrasgroup ringsirreducible representationsgraded identitiesPI-algebrasLie identitiesidentities of ringsidentities with involutionPI-exponents

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (1)

Codimension growth of algebras with adjoint unit

Cites Work

• Lie, Jordan and proper codimensions of associative algebras.
• The representation theory of the symmetric groups
• Group-graded algebras with polynomial identity
• Involution codimensions of finite dimensional algebras and exponential growth
• Rings with involution
• Identities in rings with involutions
• Group rings satisfying a polynomial identity
• Existence of identities in \(A \otimes B\)
• Actions of Commutative Hopf Algebras
• Identities of graded algebras and codimension growth
• Simple and semisimple Lie algebras and codimension growth
• Groups with Representations of Bounded Degree
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