Hom-alternative algebras and Hom-Jordan algebras
classification
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keywords
algebrashom-jordanalgebrahom-alternativealternativeconstructiondiscusshom-associative
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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.
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