Characterizations of BiHom-alternative(-Leibniz) algebras through associated BiHom-Akivis algebras

DOI10.11568/kjm.2024.32.3.425MaRDI QIDQ6631840

Sylvain Attan

Publication date: 1 November 2024

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

BiHom-Lie algebraBiHom-associative algebraBiHom-Leibniz algebraBiHom-Malcev algebraakivis algebraBiHom-Akivis algebraBiHom-Lie-admissibility

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Mal'tsev rings and algebras (17D10) Other nonassociative rings and algebras (17D99)

Cites Work

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• BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras
• Lie's fundamental theorems for local analytical loops
• Local algebras of a multidimensional three-web
• A noncommutative version of Lie algebras: Leibniz algebras
• BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras
• Tensor products and perturbations of BiHom-Novikov-Poisson algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-algebra structures
• Hom-Akivis algebras
• A twisted generalization of Lie-Yamaguti algebras
• Hom-alternative algebras and Hom-Jordan algebras
• Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
• Monoidal Hom–Hopf Algebras
• Some characterizations of Hom-Leibniz algebras
• Hom-Bol algebras

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