Hom-Alternative, Hom-Malcev and Hom-Jordan superalgebras
K. Abdaoui, F. Ammar, A. Makhlouf

TL;DR
This paper explores the properties of Hom-alternative, Hom-Malcev, and Hom-Jordan superalgebras, establishing their interrelations and generalizing key identities within these algebraic structures.
Contribution
It proves that Hom-alternative superalgebras are both Hom-Malcev-admissible and Hom-Jordan-admissible, and extends classical identities to the Hom-superalgebra context.
Findings
Hom-alternative superalgebras are Hom-Malcev-admissible
Hom-alternative superalgebras are Hom-Jordan-admissible
Generalizations of identities like the Bruck-Kleinfled function are obtained
Abstract
Hom-alternative, Hom-Malcev and Hom-Jordan superalgebras are -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 -graded Bruck-Kleinfled function are obtained.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms
