Identities of Group Algebras

DOI10.1080/00927870500288002zbMath1102.16014OpenAlexW2086489755MaRDI QIDQ5478671

Mikhail V. Zaicev, Sudarshan K. Sehgal

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500288002

zbMATH Keywords

group algebrasfinitely generated subgroupspolynomial identitiesresidually finite groupsirreducible finite-dimensional representationsPI-algebras

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items

Attaching a matrix algebra to affine group schemes: polynomial identities

Cites Work

• Unnamed Item
• Unnamed Item
• Basis for identities of the algebra of upper triangular matrices
• Group identities on units of rings
• Group identities on units of group algebras
• Group rings satisfying a polynomial identity
• 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. II
• Generalized Commutativity in Group Algebras
• GRADED IDENTITIES OF GROUP ALGEBRAS
• Polynomial Identities in Graded Group Rings, Restricted Lie Algebras and p-Adic Analytic Groups
• IDENTITIES OF FINITELY GENERATED ALGEBRAS OVER AN INFINITE FIELD
• Groups with Representations of Bounded Degree
• Lie Solvable Group Rings