Let p,q be two prime numbers. Prove that there exists a homeomorphism of rings such that f([1]_p)=[1]_q from(adsbygoogle = window.adsbygoogle || []).push({}); Z_p[X] intoZ_q[X] if and only if p=q.

I believe that the converse of the statement is trivial but the implication seems to be obvious? I really don't know what there really is to prove in this.

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# Homework Help: Homeomorphism of rings

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