On Jordan homo-derivation of triangular algebras

[摘要] We define an $\mathbb{R}$-linear map $\phi$ from $\mathbb{A}$ to an $\mathbb{A}$-bimodule $\mathbb{M}$ is said to be Jordan homo-derivation if $\phi(x^2)=\phi(x)x+x\phi(x)+\phi(x)^2$ for each $x\in\mathbb{A}.$ In this article, we proved that every Jordan homo-derivation to be homo-derivation on triangular algebras.

[学科分类] 数学（综合）

[关键词] Jordan homo-derivation;triangular algebras