Многообразия с дробным полиномиальным ростом и проблема Шпехта

DOI10.22405/2226-8383-2018-19-1-176-186zbMath1439.16026OpenAlexW2895893816MaRDI QIDQ5109622

Sergey Mishchenko, O. V. Shulezhko

Publication date: 13 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb630

zbMATH Keywords

codimensionvarietymetabelianidentitySpecht problem

Mathematics Subject Classification ID

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

Cites Work

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• Polynomial codimension growth and the Specht problem
• On existence of PI-exponents of codimension growth
• Algebras with intermediate growth of the codimensions.
• An example of a variety of linear algebras with fractional polynomial growth
• An example of a variety of Lie algebras with a fractional exponent
• Codimension and colength sequences of algebras and growth phenomena
• Codimensions of algebras and growth functions
• New example of a variety of Lie algebras with fractional exponent
• Polynomial growth of the codimensions: a characterization
• Infinite periodic words and almost nilpotent varieties

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