A criterion for p-henselianity in characteristic p
Résumé
Let $p$ be a prime. In this paper we give a proof of the following
result: A valued field $(K,v)$ of characteristic $p > 0$ is
$p$-henselian if and only if every element of strictly positive
valuation if of the form $x^p - x$ for some $x \in K$.
Domaines
Logique [math.LO]
Origine : Fichiers produits par l'(les) auteur(s)