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 defi- nition 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.

Keywords

• Hom-Maltsev algebras
• Hom-Maltsev admissible algebras
• Homalternative algebras
• Hom-Moufang identities
• Hom-Jordan algebras
• HomJordan-admissible algebras

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