$G$-identities on associative algebras

DOI10.1090/S0002-9939-99-04530-XzbMath0910.16009OpenAlexW1550864602MaRDI QIDQ4216278

Antonio Giambruno, Mikhail V. Zaicev, Yu. A. Bakhturin

Publication date: 26 October 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04530-x

zbMATH Keywords

algebras with polynomial identitiescodimensions of T-idealsasymptotics of codimensionsautomorphisms and anti-automorphisms of PI-algebrasessential polynomial identitiespolynomial identities of algebras with involutions

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (27)

On the asymptotics of Capelli polynomials ⋮ On codimensions of algebras with involution ⋮ \(\mathbb{Z}_2\)-graded cocharacters for superalgebras of triangular matrices. ⋮ Amitsur's conjecture for associative algebras with a generalized Hopf action. ⋮ Algebras with involution with linear codimension growth. ⋮ Oriented group involutions in group algebras: a survey ⋮ Actions of Ore extensions and growth of polynomialH-identities ⋮ Growth for algebras satisfying polynomial identities. ⋮ Capelli identities on algebras with involution or graded involution ⋮ Codimensions of algebras with additional structures ⋮ Graded group actions and generalized \(H\)-actions compatible with gradings ⋮ Graded polynomial identities, group actions, and exponential growth of Lie algebras ⋮ Asymptotics of \(H\)-identities for associative algebras with an \(H\)-invariant radical. ⋮ Normal group algebras ⋮ Identities on Lie or Jordan-group-graded associative algebras. ⋮ Involution codimensions of finite dimensional algebras and exponential growth ⋮ Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities. ⋮ The Grassmann algebra and its differential identities ⋮ Co-stability of Radicals and Its Applications to PI-Theory ⋮ Polynomial growth and identities of superalgebras and star-algebras. ⋮ Amitsur’s conjecture for polynomial 𝐻-identities of 𝐻-module Lie algebras ⋮ Algebras simple with respect to a Sweedler's algebra action ⋮ Algebras simple with respect to a Taft algebra action. ⋮ On the identical relations of associative and Lie algebras equipped with an action ⋮ Graded polynomial identities of matrices ⋮ Almost polynomial growth: classifying varieties of graded algebras. ⋮ Asymptotics for Capelli polynomials with involution

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