Question: Denote Zn = (y) = {e, v, ..., yn-1} (where y = e). Using this notation: Y (a) Prove that for any unital ring

Denote Zn = (y) = {e, v, ..., yn-1} (where y = e). Using this notation: Y (a) Prove that for any unital ring R, there is a surjective homomorphism R[x] RZn that sends a E R to ae E RZn and sends x to ly RZn. (b) Describe the kernel of the homomorphism found in (a). (Justify your answer carefully!)

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