Let $M_{2}(\mathbb{Z}_{p}[i])$ be a 2 x 2 matrix having element over the ring Gaussian Integers modulo $p$, $M_{2}(\mathbb{Z}_{p})$ be a 2 x 2 matrix over the ring of Intergers modulo $p$. And
I want to find a nontrivial surjective ring homomorphism
$$\varphi \colon M_{2}(\mathbb{Z}_{p}[i]) \longrightarrow M_{2}(\mathbb{Z}_{p})$$
between these two but I can't seem to find a definition for $\varphi$.
What could be a possible $\varphi$ for it to be a surjective ring homomorphism?
Any help would be greatly appreciated.