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

Mathematics – Rings and Algebras

Scientific paper

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35 pages

Scientific paper

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.

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