# Associates in the Ring of Polynomials mod n

Let $a$ and $b$ be elements of the polynomial ring $\mathbb{Z}/n\mathbb{Z}[x]$. If $a$ and $b$ generate the same ideal, must they be associates? If $n$ is prime, then it is easy to see that the answer is "yes". But what if $n$ is not prime?

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I did not see Robin's question. Strange coincidence!! –  SJR Dec 14 '10 at 10:27