Asymptotic behavior in Lie nilpotent relatively free algebras and extended Grassmann algebras

DOI10.1134/S0001434620050235zbMath1443.16025OpenAlexW3046852273MaRDI QIDQ2192162

Aleksandr V. Grishin

Publication date: 29 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620050235

zbMATH Keywords

Lie nilpotent algebrameasure of inclusionextended Grassmann algebracodimension of \(t\)-ideal

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Alternative rings (17D05)

Cites Work

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• Asymptotic properties of free finitely generated algebras of certain varieties
• The growth exponent of a variety of algebras and its applications
• Asymptotics of the codimensions \(c_n\) in the algebra \(F^{(7)}\)
• Codimensions of algebras and growth functions
• Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6
• The Polynomial Identities of the Grassman Algebra
• On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4

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