Poisson polynomial identities. II

DOI10.1007/s000130050329zbMath0932.17021OpenAlexW2998996067MaRDI QIDQ1293315

Daniel R. Farkas

Publication date: 12 March 2000

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050329

zbMATH Keywords

Krull dimensionPoisson algebrassymmetric algebraring of differential operatorsstandard polynomial identityPoisson algebras with polynomial identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Identities, free Lie (super)algebras (17B01) Poisson algebras (17B63) Derivations, actions of Lie algebras (16W25) Nonassociative algebras satisfying other identities (17A30)

Related Items (17)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Derived lengths of symmetric Poisson algebras ⋮ Poisson PI algebras ⋮ О тождествах специального вида в алгебрах Лейбница - Пуассона ⋮ Lie structure of truncated symmetric Poisson algebras ⋮ Numerical characteristics of varieties of Poisson algebras ⋮ Scale for codimension growth of Poisson PI-algebras ⋮ Algebras of Jordan brackets and generalized Poisson algebras ⋮ Solvability of Poisson algebras ⋮ On Customary Spaces of Leibniz –Poisson Algebras ⋮ On extension of classical Baer results to Poisson algebras ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ Growth in Poisson algebras ⋮ The Freiheitssatz for Poisson algebras ⋮ Solvable symmetric Poisson algebras and their derived lengths ⋮ On a conjecture about solvability of symmetric Poisson algebras ⋮ Symmetric polynomials in the free metabelian Poisson algebras

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