KEY POLYNOMIALS, SEPARATE AND IMMEDIATE VALUATIONS, AND SIMPLE EXTENSIONS OF VALUED FIELDS - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2022

KEY POLYNOMIALS, SEPARATE AND IMMEDIATE VALUATIONS, AND SIMPLE EXTENSIONS OF VALUED FIELDS

Gérard Leloup

Résumé

We give a first-order definition of key polynomials, we show the links with previous definitions, that it is relevant to study key degrees, and to use a kind of valuations that we call partially multiplicative. We also prove or reprove several properties.
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Dates et versions

hal-01876056 , version 1 (18-09-2018)
hal-01876056 , version 2 (18-12-2019)
hal-01876056 , version 3 (16-05-2022)

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Gérard Leloup. KEY POLYNOMIALS, SEPARATE AND IMMEDIATE VALUATIONS, AND SIMPLE EXTENSIONS OF VALUED FIELDS. 2022. ⟨hal-01876056v3⟩
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