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Structure of multiplicative simple Hom-Jordan algebras

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arxiv 1906.04561 v2 pith:3P2WCQCG submitted 2019-05-30 math.RA

Chenrui Yao , Yao Ma , Liangyun Chen This is my paper · ORCID
classification math.RA
keywords algebrashom-jordanmultiplicativesimplestructureapplicationbimodulesclassification
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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.

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  1. Structures and bimodules of simple Hom-alternative algebras

    math.RA 2019-08 conditional novelty 4.0 of 10

    Finite-dimensional simple Hom-alternative algebras are exactly twists of semi-simple alternative algebras by automorphisms, and their bimodules with invertible module twist are equivalent to bimodules of the untwisted...

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