Abstract
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 is of the form $x^p - x$ for some $x \in K$.
Citation
Zoé Chatzidakis. Milan Perera. "A criterion for $p$-henselianity in characteristic $p$." Bull. Belg. Math. Soc. Simon Stevin 24 (1) 123 - 126, march 2017. https://doi.org/10.36045/bbms/1489888817
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