BiHom-alternative, BiHom-Malcev and BiHom-Jordan algebras

DOI10.1216/rmj.2020.50.69zbMath1484.17051arXiv1811.10394OpenAlexW3020948354MaRDI QIDQ2181166

Sami Mabrouk, Abdenacer Makhlouf, Taoufik Chtioui

Publication date: 18 May 2020

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10394

zbMATH Keywords

BiHom-alternative algebraBiHom-Jordan algebraBiHom-Jordan-admissible algebraBiHom-Malcev algebraBiHom-Malcev-admissible algebraBiHom-Moufang identity

Mathematics Subject Classification ID

Alternative rings (17D05) Noncommutative Jordan algebras (17A15) Mal'tsev rings and algebras (17D10) (non-Lie) Hom algebras and topics (17D30)

Related Items

Generalized derivations, quasiderivations and centroids of Bihom-Lie triple system ⋮ Deformations and Extensions of BiHom-alternative algebras ⋮ Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras ⋮ Constructions and representation theory of BiHom-post-Lie algebras ⋮ Kupershmidt operators on Hom-Malcev algebras and their deformation ⋮ Unnamed Item ⋮ Constructions of three kinds of BiHom-superalgebras ⋮ Coquasitriangular infinitesimal BiHom-bialgebras and related structures ⋮ Matching Rota-Baxter BiHom-algebras and related algebraic structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• BiHom-associative algebras, BiHom-Lie algebras and BiHom-bialgebras
• Malcev-admissible algebras
• The construction and deformation of BiHom-Novikov algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• On the relation between Mal'tsev algebras and analytic Moufang groups
• On right alternative algebras
• Deformations of Hom-Alternative and Hom-Malcev algebras
• Hom-alternative algebras and Hom-Jordan algebras
• Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
• Malcev Algebras
• The octonions
• The Structure of Alternative Division Rings