Find the field F and the polynomial from F[x] with the derivation identically equal to 0, f(x) is not the second power of another polynomial. Can anybody give me a hint please? Thanks
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Originally Posted by sidi Find the field F and the polynomial from F[x] with the derivation identically equal to 0, f(x) is not the second power of another polynomial. Can anybody give me a hint please? Thanks such a field has to be an infinite field of characteristic and we must also have here's an example that satisfies the conditions in your problem: Spoiler: the field of rational functions over and
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