LEIBNIZ TRIPLE SYSTEMS

DOI10.1142/S021919971350051XzbMath1301.17005arXiv1106.5033OpenAlexW2963485421WikidataQ123123302 ScholiaQ123123302MaRDI QIDQ5401609

Juana Sánchez-Ortega, Murray R. Bremner

Publication date: 10 March 2014

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5033

zbMATH Keywords

polynomial identitiesLeibniz algebrasManin productsJordan dialgebrasKP algorithm

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Leibniz algebras (17A32) Ternary compositions (17A40)

Related Items (12)

Cohomology of Leibniz triple systems with derivations ⋮ Split 3-Leibniz algebras ⋮ Poisson triple systems ⋮ Notes on Leibniz \(n\)-algebras ⋮ Some structure theories of Leibniz triple systems ⋮ Veronese powers of operads and pure homotopy algebras ⋮ On -Jordan Lie triple systems ⋮ k-Leibniz algebras from lower order ones: From Lie triple to Lie ℓ-ple systems ⋮ On the structure of graded Leibniz triple systems ⋮ Leibniz triple systems admitting a multiplicative basis ⋮ On the structure of split Leibniz triple systems ⋮ Test for Leibniz \(n\)-algebra structure

Cites Work

• Unnamed Item
• Jordan triple disystems
• Prealternative algebras and prealternative bialgebras
• Some results on L-dendriform algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• J-dendriform algebras
• Lie triple algebras with one generator
• The partially alternating ternary sum in an associative dialgebra
• On the Definition of Quasi-Jordan Algebra
• Special Identities for Quasi-Jordan Algebras
• Quasi-Jordan Algebras
• On special identities for dialgebras

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