  Let $R$ be any ring containing a non-tivial idempotent element $e$. Let $\Im:
R\rightarrow R$ be a mapping such that $\Im(ab)=\Im(b)a+b\Im(a)$ for all
$a,b\in R$. In this note, our aim is to show that under some suitable
restrictions imposed on $R,$ $\Im$ is additive.
