Dendriform Analogues of Lie and Jordan Triple Systems

DOI10.1080/00927872.2013.820738zbMath1314.17003arXiv1305.1389OpenAlexW2079900545MaRDI QIDQ5495273

Murray R. Bremner, Sara Madariaga Merino

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1305.1389

Mathematics Subject Classification ID

Leibniz algebras (17A32) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Identities and free Jordan structures (17C05) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04) Ternary compositions (17A40)

Related Items (2)

Veronese powers of operads and pure homotopy algebras ⋮ On -Jordan Lie triple systems

Cites Work

• Unnamed Item
• Jordan triple disystems
• An application of lattice basis reduction to polynomial identities for algebraic structures
• Hopf algebra of the planar binary trees
• Koszul duality for operads
• Embedding of dendriform algebras into Rota-Baxter algebras
• Special identities for the pre-Jordan product in the free dendriform algebra
• The partially alternating ternary sum in an associative dialgebra
• Special Identities for Quasi-Jordan Algebras
• L-Algebras, Triplicial-Algebras, within an Equivalence of Categories Motivated by Graphs
• Higher identities for the ternary commutator
• Pre-jordan Algebras
• HIGHER KOSZUL DUALITY FOR ASSOCIATIVE ALGEBRAS
• Lie and Jordan Triple Systems
• Structurable superalgebras of Cartan type

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