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Preprint Number 925

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925. Zoé Chatzidakis, Milan Perera
A criterion for p-henselianity in characteristic p

Submission date: 15 September 2015


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.

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Full text arXiv 1509.04535: pdf, ps.

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