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Cartan Subalgebras of Leibniz n-Algebras

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Publication:5325701
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DOI10.1080/00927870802319406zbMath1236.17004arXiv0802.1426OpenAlexW2098721220MaRDI QIDQ5325701

Rustam Turdibaev, Sergio A. Albeverio, Shavkat A. Ayupov, Bakhrom A. Omirov

Publication date: 24 July 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1426


zbMATH Keywords

Cartan subalgebraLeibniz n-algebraregular element


Mathematics Subject Classification ID

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


Related Items

ON NILPOTENT LEIBNIZ n-ALGEBRAS ⋮ On classification problem of Loday algebras ⋮ Higher Hopf formula for homology of Leibniz \(n\)-algebras ⋮ On split Leibniz superalgebras ⋮ n-Algebras admitting a multiplicative basis ⋮ \(\mathsf{Lie}\)-isoclinism in Leibniz \(n\)-algebras ⋮ Arbitrary triple systems admitting a multiplicative basis ⋮ Some necessary and sufficient conditions for nilpotent n-Lie superalgebras ⋮ Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras



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