Hom-Alternative, Hom-Malcev and Hom-Jordan superalgebras
Abstract
Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras are Z2-graded generalizations of Hom-alternative, Hom-Malcev and Hom-Jordan algebras, which are Hom-type generalizations of alternative, Malcev and Jordan algebras. In this paper we prove that Hom-alternative superalgebras are Hom-Malcev-admissible and are also Hom-Jordan-admissible. Home-type generalizations of some well known identities in alternative superalgebras, including the Z2-graded Bruck-Kleinfled function are obtained.
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