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## Homework Statement

Let R be a commutative ring and let f

_{a}: 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 = f

_{a}for some a [tex]\in[/tex] R.

## Homework Equations

## 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)?

Help?