Revista de la
Unión Matemática Argentina
Structure of simple multiplicative Hom-Jordan algebras
Chenrui Yao, Yao Ma, and Liangyun Chen
Volume 62, no. 1 (2021), pp. 153–170    

https://doi.org/10.33044/revuma.1727

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Abstract

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.