Is the map $f: \mathbb C \to \mathbb Z$, $f(a+bi)=a$, for $a,b$ in $\mathbb Z$, a homomorphism of rings?
Any one could give me some ideas please?
Is the map $f: \mathbb C \to \mathbb Z$, $f(a+bi)=a$, for $a,b$ in $\mathbb Z$, a homomorphism of rings?
Any one could give me some ideas please?