Let R be a commutative ring and let fa: R[x] -> R be evaluation at a [tex]\in[/tex] R.
If S: R[x] -> R is any ring homomorphism such that S(r) = r for all r[tex]\in[/tex] R, show that S = fa for some a [tex]\in[/tex] R.
The Attempt at a Solution
I don't get this at all.. really.. :S
Is this to show that for any ring homomorphism, you can evaluate it at some a in Z(R)?