Co-stability of Radicals and Its Applications to PI-Theory

DOI10.1142/S1005386716000468zbMath1371.16035arXiv1301.2446MaRDI QIDQ2822085

Alexei S. Gordienko

Publication date: 26 September 2016

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

Full work available at URL: https://arxiv.org/abs/1301.2446

zbMATH Keywords

codimensionradicalspolynomial identitygrading\(H\)-comodule algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Graded rings and modules (associative rings and algebras) (16W50) Jacobson radical, quasimultiplication (16N20) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (12)

Actions of Ore extensions and growth of polynomialH-identities ⋮ Universal enveloping of a graded Lie algebra ⋮ Graded group actions and generalized \(H\)-actions compatible with gradings ⋮ On weak equivalences of gradings ⋮ Group gradings on upper block triangular matrices ⋮ Semigroup graded algebras and graded PI-exponent ⋮ On H-simple not necessarily associative algebras ⋮ Equivalences of (co)module algebra structures over Hopf algebras ⋮ Group gradings on the Lie and Jordan algebras of block-triangular matrices ⋮ Group gradings on finite dimensional incidence algebras ⋮ Algebras simple with respect to a Taft algebra action. ⋮ Semigroup graded algebras and codimension growth of graded polynomial identities.

Cites Work

• Structure of \(H\)-semiprime Artinian algebras.
• Graded polynomial identities and codimensions: computing the exponential growth.
• Cocharacter sequences of algebras with Hopf algebra actions
• Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities.
• Asymptotics of \(H\)-identities for associative algebras with an \(H\)-invariant radical.
• Multialternating graded polynomials and growth of polynomial identities
• Group Gradings on Finite Dimensional Lie Algebras
• STABLE JACOBSON RADICALS AND SEMIPRIME SMASH PRODUCTS
• $G$-identities on associative algebras
• The wedderburn-malcev theorem for comodule algebras
• Identities of graded algebras and codimension growth

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