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arXiv · 1509.04535

A criterion for p-henselianity in characteristic p

Zoé Chatzidakis·Milan Perera
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Abstract

Let $p$ be a prime. In this paper we give a proof of the followingresult: A valued field $(K,v)$ of characteristic $p \textgreater{} 0$ is$p$-henselian if and only if every element of strictly positivevaluation if of the form $x^p - x$ for some $x \in K$.

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Zoé Chatzidakis, Milan Perera. 2015-09-15. A criterion for p-henselianity in characteristic p. https://arxiv.org/abs/1509.04535

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