Multiplicative derivations on rank-$s$ matrices for relatively small $s$

Xiaowei Xu, Baochuan Xie, Yanhua Wang +1

Let $n$ and $s$ be fixed integers such that $n\ge 2$ and $1\le s\le \frac{n}{2}$. Let $M_n(\mathbb{K})$ be the ring of all $n\times n$ matrices over a field $\mathbb{K}$. If a m…