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Jul 9, 2019 at 20:45 comment added Ayman Moussa Well ... sometimes you just imagine things harder than they are. Your proof works the same way to get that exactness on $\mathbb{R}_k[X]$ leads to an estimate of order $k+1$. I'll look for the converse later. Thanks.
Jul 9, 2019 at 20:43 vote accept Ayman Moussa
Jul 9, 2019 at 15:41 history answered Bazin CC BY-SA 4.0