Assume we have a fixed field $F$. We define objects as homomorphisms $\phi:F\rightarrow G$. Then we define morphisms between $\phi:F\rightarrow G$ and $\psi:F\rightarrow L$ as ring homomorphism from $G$ to $L$.
How should I show that this indeed is a homomorphism. We did that during the classes and were talking about ideals in field, but since I don't have to much knowledge of algebra, I didn't understand much.
Thanks