Surjectivity of polynomial maps on Matrices

Saikat Panja, Prachi Saini, Anupam Singh

For $n\ge 2$, we consider the map on $M_n(\mathbb{K})$ given by evaluation of a polynomial $f(X_1,\dots ,X_m)$ over the field $\mathbb{K}$. In this article, we explore the image o…