# Structure of multiplicative simple Hom-Jordan algebras

## TL;DR

This paper investigates the structure of multiplicative simple Hom-Jordan algebras, providing conditions for their solvability, simplicity, semi-simplicity, and classification, along with propositions on bimodules.

## Contribution

It offers new classification results and structural conditions for multiplicative simple Hom-Jordan algebras, expanding understanding of their properties.

## Key findings

- Conditions for solvability, simplicity, and semi-simplicity established
- Classification theorem for multiplicative simple Hom-Jordan algebras proved
- Propositions on bimodules of these algebras presented

## Abstract

In this paper, we mainly study structure of multiplicative simple Hom-Jordan algebras. We talk about equivalent conditions for multiplicative Hom-Jordan algebras being solvable, simple and semi-simple. As an application, we give a theorem about classification of multiplicative simple Hom-Jordan algebras. Moreover, some propositions about bimodules of multiplicative Hom-Jordan algebras are also displayed.