Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras

DOI10.1080/03081087.2012.758260zbMath1322.17002arXiv1103.2725OpenAlexW2078925322WikidataQ122947811 ScholiaQ122947811MaRDI QIDQ2872519

Felipe Gago, Rustam Turdibaev, Manuel Ladra Gonzalez, Bakhrom A. Omirov

Publication date: 15 January 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2725

zbMATH Keywords

Jacobson radicalCartan subalgebraFrattini subalgebraLie \(n\)-algebrasLeibniz \(n\)-algebras

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (5)

On split Leibniz superalgebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ 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 ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• Conjugacy Cartan subalgebras in \(n\)-Lie algebras
• The Frattini argument for Lie algebras
• The Frattini subalgebra of \(n\)-Lie algebras
• Leibniz n-algebras
• On Engel's Theorem for Leibniz Algebras
• Some Theorems on Leibniz Algebras
• On 2-Solvable n-Lie Algebras
• Generalized Hamiltonian Dynamics
• A Frattini Theory for Leibniz Algebras
• Nilpotentn-Lie Algebras
• Cartan Subalgebras of Leibniz n-Algebras
• Nilpotent Lie and Leibniz Algebras
• The Frattini Subalgebra of a Lie Algebra
• On the Frattini Subalgebra of a Lie Algebra

This page was built for publication: Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras