MMN-3845

# On Jordan homo-derivation of triangular algebras

*Nadeem ur Rehman*;

*Hafedh M. Alnoghashi*;

## Abstract

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.

Vol. 24 (2023), No. 1, pp. 403-410

DOI: 10.18514/MMN.2023.3845