ON NILPOTENT LEIBNIZ n-ALGEBRAS

DOI10.1142/S0219498812500624zbMath1302.17003OpenAlexW1980974593WikidataQ123230123 ScholiaQ123230123MaRDI QIDQ2893002

J. R. Gómez, L. M. Camacho, Manuel Ladra Gonzalez, José Manuel Casas Mirás, Bakhrom A. Omirov

Publication date: 25 June 2012

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

Full work available at URL: https://doi.org/10.1142/s0219498812500624

zbMATH Keywords

derivationnilpotencyLeibniz \(n\)-algebrasided ideal

Mathematics Subject Classification ID

Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

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A characterization of nilpotent Leibniz algebras ⋮ Notes on Leibniz \(n\)-algebras ⋮ n-Algebras admitting a multiplicative basis ⋮ Leibniz algebras admitting a multiplicative basis ⋮ Introduction to \(gb\)-triple systems ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ A characterization of finite dimensional nilpotent Filippov algebras ⋮ Leibniz algebras of Heisenberg type ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Some necessary and sufficient conditions for nilpotent n-Lie superalgebras ⋮ On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 ⋮ Augmented \(n\)-ary maps and their applications to graded \(n\)-ary algebraic structures ⋮ Test for Leibniz \(n\)-algebra structure ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

• Unnamed Item
• Leibniz and Lie algebra structures for Nambu algebra
• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• Commutativen-Ary Leibniz Algebras
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS
• Generalized Hamiltonian Dynamics
• Solvability of Finite-Dimensionaln-ary Commutative Leibniz Algebras of Characteristic 0
• Cartan Subalgebras of Leibniz n-Algebras
• On Solvability and Nilpotency of Leibnizn-Algebras