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arXiv · 1304.1579

Hom-Alternative, Hom-Malcev and Hom-Jordan superalgebras

K. Abdaoui·F. Ammar·A. Makhlouf
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Abstract

Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras are $\mathbb{Z}_{2}$-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 $\mathbb{Z}_{2}$-graded Bruck-Kleinfled function are obtained.

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BibTeXRIS

K. Abdaoui, F. Ammar, A. Makhlouf. 2013-04-04. Hom-Alternative, Hom-Malcev and Hom-Jordan superalgebras. https://arxiv.org/abs/1304.1579

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