Question: What are the automorphisms of Z[x]?(adsbygoogle = window.adsbygoogle || []).push({});

I know there are two automorphisms, one of which is the identity map, ø(f(x)) = f(x).

What is the other one? ø(f(x)) = -f(x) for all f(x) in Z[x]? Or does it have something to do with the degree or factorization of the polynomials? Please explain in detail because I don't know much about ring automorphisms. Thanks.

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# Polynomial ring automorphisms

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