Mathieu-Zhao spaces over field of positive characteristic

Fengli Liu, Dan Yan

Let $K$ be a field of characteristic $p$, $\delta$ a nonzero $\mathcal{E}$-derivation and $D=f(x_1){\partial }_1$. We first prove that $\mathrm{Im}D$ is not a Mathieu-Zhao space of $…