Let $K$ be a field with $\operatorname{char}K =p$, where $p$ is a prime number and $a \ne 0,1 \in K $. Assume that $P(x) = x^p-a$ is irreducible in $K[x]$ and let $\alpha$ a root of $P(x)$, show that $x^p - \alpha$ is irreducible over $K(\alpha)$. I have tried to solve that, but I have some ques...

Proposal: Rename fubini to fubini-tonelli-theorems. Basically the same idea as the other well-received post suggesting changing collatz to collatz-conjecture. Fubini did a bunch of other stuff and it's best to name the tag after his work not him. Further, Tonelli's generalization is useful in mea...