Poisson algebras of polynomial growth

DOI10.1134/S0037446613030191zbMath1321.17015OpenAlexW2071854401WikidataQ58389680 ScholiaQ58389680MaRDI QIDQ359385

S. M. Ratseev

Publication date: 12 August 2013

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

Full work available at URL: https://doi.org/10.1134/s0037446613030191

zbMATH Keywords

Poisson algebravariety of algebrasgrowth of a variety

Mathematics Subject Classification ID

Poisson algebras (17B63)

Related Items (13)

Proper \(T\)-ideals of Poisson algebras with extreme properties ⋮ О тождествах специального вида в алгебрах Лейбница - Пуассона ⋮ Polynomial codimension growth and the Specht problem ⋮ Exponential growth of codimensions of identities of algebras with unity ⋮ Numerical characteristics of varieties of Poisson algebras ⋮ Scale for codimension growth of Poisson PI-algebras ⋮ Lie algebras with extremal properties ⋮ On minimal Poisson algebras ⋮ Algebras of Jordan brackets and generalized Poisson algebras ⋮ On extension of classical Baer results to Poisson algebras ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ Многообразия линейных алгебр полиномиального роста ⋮ Correlation of Poisson algebras and Lie algebras in the language of identities

Cites Work

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• Exact asymptotic behaviour of the codimensions of some P.I. algebras
• Growth in Poisson algebras
• Matrix algebras of polynomial codimension growth.
• Gesetze in Ringen. I
• Poisson PI algebras

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