ANTI-COMMUTATIVE ALGEBRAS WITH SKEW-SYMMETRIC IDENTITIES

DOI10.1142/S0219498809003230zbMath1232.17004OpenAlexW2008396631MaRDI QIDQ3636253

A. S. Dzhumadil'daev

Publication date: 30 June 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498809003230

zbMATH Keywords

Lie algebraPoisson bracketanticommutative algebraMalcev algebra, Jacobi bracketskew-symmetric polynomial

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Nonassociative algebras satisfying other identities (17A30) Other nonassociative rings and algebras (17D99)

Related Items (2)

Identities for deformation quantizations of almost Poisson algebras ⋮ Askar Serkulovich Dzhumadil'daev (on his 60th birthday)

Cites Work

• Chronological algebras and nonstationary vector fields
• On Lie \(k\)-algebras
• Superalgebras and Dimensions of Algebras
• FREE MALCEV SUPERALGEBRA ON ONE ODD GENERATOR
• CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
• Remarks on Nambu-Poisson and Nambu-Jacobi brackets
• The Universal Multiplicative Envelope of the Free Malcev Superalgebra on One Odd Generator
• Commutative Non-Associative Algebras and Identities of Degree Four

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