Hom-alternative algebras and Hom-Jordan algebras

2009/09/02 by Abdenacer Makhlouf, Makhlouf, Abdenacer · 1 citation
Computer Science · Mathematics · #17A30 #17C10 #17D05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0909.0326

openalex publication_date 2009/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Citations

• The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras
• Hom-bialgebras and comodule Hom-algebras
• Hom-quantum groups II: cobraided Hom-bialgebras and Hom-quantum geometry
• Hom-Algebras and Hom-Coalgebras
• Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras

Cited by

• On n-ary Hom-Nambu and Hom-Maltsev algebras

Related

• Bimodules over Hom-Jordan and Hom-alternative algebras
• Construction of Hom-Pre-Jordan algebras and Hom-J-dendriform algebras
• Structures and bimodules of simple Hom-alternative algebras
• Right Hom-alternative algebras
• Paradigm of Nonassociative Hom-algebras and Hom-superalgebras