Key polynomials, separate and immediate valuations, and simple extensions of valued fields
Commutative Algebra
2022-05-19 v3
Abstract
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.
Cite
@article{arxiv.1809.07092,
title = {Key polynomials, separate and immediate valuations, and simple extensions of valued fields},
author = {Gérard Leloup},
journal= {arXiv preprint arXiv:1809.07092},
year = {2022}
}