Polynomial growth and star-varieties.

DOI10.1016/j.jpaa.2015.06.008zbMath1336.16020OpenAlexW1412260195MaRDI QIDQ886967

Daniela La Mattina, Fabrizio Martino

Publication date: 27 October 2015

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.2015.06.008

zbMATH Keywords

codimension sequencesrelatively free algebrasidentities with involutiongrowth sequencesvarieties of algebras with involutionvarieties of polynomial growth

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (19)

On codimensions of algebras with involution ⋮ On algebras of polynomial codimension growth ⋮ Differential identities and varieties of almost polynomial growth ⋮ On unitary algebras with graded involution of quadratic growth ⋮ Minimal star-varieties of polynomial growth and bounded colength ⋮ Codimensions of star-algebras and low exponential growth ⋮ Star-fundamental algebras: polynomial identities and asymptotics ⋮ Some characterizations of algebras with involution with polynomial growth of their codimensions ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Superalgebras with graded involution: classifying minimal varieties of quadratic growth ⋮ Varieties of algebras with pseudoinvolution and polynomial growth ⋮ Unitary superalgebras with graded involution or superinvolution of polynomial growth ⋮ Polynomial codimension growth of algebras with involutions and superinvolutions ⋮ Minimal \(\ast\)-varieties and minimal supervarieties of polynomial growth ⋮ Superalgebras with graded involution and star-graded colength bounded by 3 ⋮ Understanding star-fundamental algebras ⋮ Superalgebras and algebras with involution: classifying varieties of quadratic growth ⋮ Matrix algebras with involution and standard polynomial identities in symmetric variables ⋮ Growth of central polynomials of algebras with involution

Cites Work

• Varieties of superalgebras of almost polynomial growth.
• Algebras with involution with linear codimension growth.
• Varieties of almost polynomial growth: classifying their subvarieties.
• Matrix algebras of polynomial codimension growth.
• Polynomial growth and identities of superalgebras and star-algebras.
• Wreath products and P.I. algebras
• T-ideals with power growth of the codimensions are Specht
• Asymptotics for the standard and the Capelli identities.
• PI-algebras with slow codimension growth.
• A star-variety with almost polynomial growth
• Graded algebras with polynomial growth of their codimensions.
• Almost polynomial growth: classifying varieties of graded algebras.
• Finitely generated algebras with involution and their identities.
• Polynomial identities on superalgebras: classifying linear growth.
• POLYNOMIAL GROWTH OF THE^*-CODIMENSIONS AND YOUNG DIAGRAMS
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• Classifying the Minimal Varieties of Polynomial Growth
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