Differential identities, \(2 \times 2\) upper triangular matrices and varieties of almost polynomial growth

DOI10.1016/j.jpaa.2018.07.004zbMath1409.16017OpenAlexW2836521584MaRDI QIDQ1634857

Antonio Giambruno, Carla Rizzo

Publication date: 18 December 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2018.07.004

zbMATH Keywords

differential identitiesalmost polynomial growthdifferential algebras

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (10)

Specht property for the algebra of upper triangular matrices of size two with a Taft’s algebra action ⋮ \((\delta,\varepsilon)\)-differential identities of \(UT_m(F)\) ⋮ Growth of differential identities ⋮ Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3 ⋮ Differential identities and polynomial growth of the codimensions ⋮ Differential identities and varieties of almost polynomial growth ⋮ Differential polynomial identities of upper triangular matrices of size three ⋮ Differential codimensions and exponential growth ⋮ The Grassmann algebra and its differential identities ⋮ Differential polynomial identities of upper triangular matrices under the action of the two-dimensional metabelian Lie algebra

Cites Work

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• Biinvertible actions of Hopf algebras
• Cocharacter sequences of algebras with Hopf algebra actions
• Differential identities of semiprime rings
• Derivations of upper triangular matrix rings
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• The graded identities of upper triangular matrices of size two
• A star-variety with almost polynomial growth
• Derivations, gradings, actions of algebraic groups, and codimension growth of polynomial identities.
• Amitsur's conjecture for associative algebras with a generalized Hopf action.
• Asymptotics of \(H\)-identities for associative algebras with an \(H\)-invariant radical.
• Existence of identities in \(A \otimes B\)
• Asymptotics for the multiplicities in the cocharacters of some PI-algebras

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