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arXiv · 2202.05503

Construction du hens\'elis\'e d'un corps valu\'e

Henri Lombardi·Franz-Viktor Kuhlmann
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Abstract

We give an explicit construction of the henselization of a valued field, with a constructive proof. It is analogous to the construction of the real closure of a discrete ordered field. Nous donnons une construction explicite, et constructivement prouv\'ee, du hens\'elis\'e d'un corps valu\'e. Cette construction peut \^etre consid\'er\'ee comme l'analogue, dans le cas valu\'e, de la construction de la cl\^oture r\'e\'eelle d'un corps ordonn\'e.

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BibTeXRIS

Henri Lombardi, Franz-Viktor Kuhlmann. 2022-02-11. Construction du hens\'elis\'e d'un corps valu\'e. https://doi.org/10.1006/jabr.2000.8289

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