On rational functional identities involving inverses on matrix rings

Yingyu Luo, Qian Chen, Yu Wang

Let $n\ge 3$ be an integer. Let $\mathcal{D}$ be a division ring with char$(\mathcal{D})>n$ or char$(\mathcal{D})=0$. Let $\mathcal{R}=M_m(\mathcal{D})$ be a ring of $n\times n$ m…