Simple Poisson-Farkas algebras and ternary Filippov algebras

DOI10.1134/S0037446617060167zbMath1429.17023OpenAlexW2790868369MaRDI QIDQ1745090

Alexander P. Pozhidaev

Publication date: 20 April 2018

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

Full work available at URL: https://doi.org/10.1134/s0037446617060167

zbMATH Keywords

Poisson algebradifferentiably simple algebraFilippov algebraFarkas (super)algebra

Mathematics Subject Classification ID

Poisson algebras (17B63) Ternary compositions (17A40)

Related Items (1)

Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras

Cites Work

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• Poisson and Filippov superalgebras
• Classification of simple linearly compact \(n\)-Lie superalgebras
• On the classification of simple quadratic derivations over the affine plane
• On the differential simplicity of polynomial rings.
• SIMPLE QUADRATIC DERIVATIONS IN TWO VARIABLES
• Simple derivations of higher degree in two variables
• DIFFERENTIALLY SIMPLE RINGS WITH NO INVERTIBLE DERIVATIVES
• d-Simple rings and simple -modules
• Poisson polynomial identities
• Enveloping Algebras of Filippov Algebras
• Characterizations of poisson algebras
• ORE EXTENSIONS AND POISSON ALGEBRAS
• An example of a simple derivation in two variables

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