New answers tagged fields
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Is there a (simple) criterion for membership to the base field of an inseparable extension?
Of course, inseparability is only a problem if the characteristic $p$ of $F$ is positive, so let's suppose that it is.
I don't know how to answer this question without changing $f$. Specifically, ...
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6
votes
Is there an 'unnatural' topological construction of an algebraically closed field of positive characteristic?
This is not directly an answer to any of your questions as stated but a riff on the theme of "what does $\overline{\mathbb{F}_p}$ look like?" The best answer to this question I've found so ...
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