I have the following problem:

If $R[X]$ is isomorphic to $S[X]$ then $R$ is isomorphic to $S$.

I think this conjecture is false, however I haven't been able to provide a counterexample. Any ideas :( ? Thanks!

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I have the following problem:

If $R[X]$ is isomorphic to $S[X]$ then $R$ is isomorphic to $S$.

I think this conjecture is false, however I haven't been able to provide a counterexample. Any ideas :( ? Thanks!

Juanchobanano

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