HOM-ALTERNATIVE ALGEBRAS AND HOM-JORDAN ALGEBRAS

Authors : Abdenacer Makhlouf

Pages : 177-190

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Publication Date : 2010-12-01

Article Type : Research Paper

Abstract :The main feature of Hom-algebras is that the identities defining the structures are twisted by homomorphisms. The purpose of this paper is to introduce Hom-alternative algebras and Hom-Jordan algebras. We discuss some of their properties and provide construction procedures using ordinary alternative algebras or Jordan algebras. Also, we show that a plus algebra of Hom-associative algebra leads to Hom-Jordan algebra.
Keywords : alternative algebra, Hom alternative algebra, Jordan algebra, Hom Jordan algebra