(Hom-)(co)associative ternary (co)algebras and infinitesimal ternary (hom-)bialgebras

DOI10.1007/978-3-031-39334-1_6MaRDI QIDQ6608580

Gbêvèwou Damien Houndedji, M. N. Hounkonnou

Publication date: 20 September 2024

zbMATH Keywords

(hom-)associative ternary algebra(hom-)associative ternary infinitesimal bialgebra(hom-)coassociative ternary coalgebra

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

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• \(q\)-deformation of the Virasoro algebra with central extension
• Ternary analogues of Lie and Malcev algebras
• Lie-admissible coalgebras
• Deformations of ternary algebras
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• Characterizations of the quantum Witt algebra
• Koszul duality for operads
• Universal differential calculus on ternary algebras
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• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Assoziative Tripelsysteme
• Infinitesimal Hopf algebras
• Generalized deformed Virasoro algebras
• Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• N-ary algebras
• The cubic chessboard
• On special classes of n-algebras
• Quasi-Deformations of 𝔰𝔩₂(𝔽) Using Twisted Derivations
• Ternary Rings
• A Characterization of the Jacobson Radical in Ternary Algebras
• On the associative analog of Lie bialgebras

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