Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras

Abstract

Hom-Maltsev(-admissible) algebras are defined, and it is shown that Hom-alternative algebras are Hom-Maltsev-admissible. With a new definition of a Hom-Jordan algebra, it is shown that Hom-alternative algebras are Hom-Jordan-admissible. Hom-type generalizations of some well-known identities in alternative algebras, including the Moufang identities, are obtained.

35 pages

References in corpus (10)

• Hom-algebras and homology
• On n-ary Hom-Nambu and Hom-Nambu-Lie algebras
• The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras
• Hom-quantum groups II: cobraided Hom-bialgebras and Hom-quantum geometry
• On unitality conditions for Hom-associative algebras
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Cited by in corpus (14)

• On n-ary Hom-Nambu and Hom-Nambu-Lie algebras
• Non-commutative Hom-Poisson algebras
• Quadratic color Hom-Lie algebras
• A twisted generalization of Lie-Yamaguti algebras
• On n-ary Hom-Nambu and Hom-Maltsev algebras
• A Hom-associative analogue of n-ary Hom-Nambu algebras
• Constructions and Cohomology of color Hom-Lie algebras
• Hom-power associative algebras
• Some characterizations of Hom-Leibniz algebras
• Right Hom-alternative algebras
• A twisted generalization of Novikov-Poisson algebras
• Hom-Lie-Yamaguti structures on Hom-Leibniz algebras
• Supercommutator algebras of right (Hom-)alternative superalgebras
• Structure of multiplicative simple Hom-Jordan algebras