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.