Structure of simple multiplicative Hom-Jordan algebras

• Chenrui Yao ^[1] ; Yao Ma ^[1] ; Liangyun Chen ^[1]
  1. [1] Northeast Normal University

     Northeast Normal University

     China

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 1, 2021, págs. 153-170
• Idioma: inglés
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• Resumen

  • We study the structure of simple multiplicative Hom-Jordan algebras. We discuss equivalent conditions for multiplicative Hom-Jordan algebras to be solvable, simple, and semi-simple. Moreover, we give a theorem on the classification of simple multiplicative Hom-Jordan algebras and obtain some propositions about bimodules of multiplicative Hom-Jordan algebras.