Hom-alternative algebras and Hom-Jordan algebras
arXiv:0909.0326
Abstract
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 polarization of Hom-associative algebra leads to Hom-Jordan algebra.
Part of a talk given during the conference "Estructuras de Jordan en Algebra y Analisis" in honor of Prof. Amine Kaidi for his 60th birthday, Almeria May 2009
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