Let $D$ be a division ring, $V$ a right $D$-vector space of infinite dimension. Write $R=End(V_D)$. I'm trying to prove the following:
$R$ is a minimal generators over $R$-$\mathsf{Mod}$, that is, for any generator $M$ in $R$-$\mathsf{Mod}$ (that is, for any $R$-module $N$, there is an epimorphism from $M^{(I)}$ to $N$), there is an epimorphism from $M$ onto $R$.
Can anyone give me some ideas? Thanks in advance.