On algebras of polynomial codimension growth

DOI10.1007/s40863-016-0051-7zbMath1370.16014OpenAlexW2510429918WikidataQ108682487 ScholiaQ108682487MaRDI QIDQ2404209

Daniela La Mattina

Publication date: 18 September 2017

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40863-016-0051-7

zbMATH Keywords

polynomial identitiescodimensionscodimension growth

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Varieties of superalgebras of almost polynomial growth.
• Exact asymptotic behaviour of the codimensions of some P.I. algebras
• Algebras with involution with linear codimension growth.
• Varieties of almost polynomial growth: classifying their subvarieties.
• Polynomial growth and star-varieties.
• Matrix algebras of polynomial codimension growth.
• Polynomial growth and identities of superalgebras and star-algebras.
• Basis for identities of the algebra of upper triangular matrices
• T-ideals with power growth of the codimensions are Specht
• On codimension growth of finitely generated associative algebras
• Exponential codimension growth of PI algebras: an exact estimate
• A characterization of P. I. algebras with bounded multiplicities of the cocharacters
• PI-algebras with slow codimension growth.
• Graded algebras with polynomial growth of their codimensions.
• Almost polynomial growth: classifying varieties of graded algebras.
• Polynomial identities on superalgebras: classifying linear growth.
• Existence of identities in \(A \otimes B\)
• Characterizing Varieties of Colength ≤4
• The Polynomial Identities of the Grassman Algebra
• Classifying the Minimal Varieties of Polynomial Growth

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