Asymptotic growth of codimensions of identities of associative algebras.

DOI10.3103/S0027132214030073zbMath1312.16018OpenAlexW2046424380MaRDI QIDQ2018032

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 24 March 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132214030073

zbMATH Keywords

PI algebrascodimension sequencesnonassociative algebrascodimension growthPI exponentscodimensions of T-ideals

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items (2)

Exponential growth of codimensions of identities of algebras with unity ⋮ Algebras simple with respect to a Taft algebra action.

Cites Work

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• Properties of hook Schur functions with applications to P. I. algebras
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• Exponential codimension growth of PI algebras: an exact estimate
• Minimal varieties of algebras of exponential growth.
• The Regev conjecture and cocharacters for identities of associative algebras of PI-exponent 1 and 2.
• The Polynomial Identities of the Grassman Algebra
• Existence of polynomial identities in $A \otimes \,_F B$

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