Definable henselian valuations on dp-minimal real fields
Logic
2024-10-15 v1 Commutative Algebra
Abstract
We give an explicit algebraic characterisation of all definable henselian valuations on a dp-minimal real field. Additionally we characterise all dp-minimal real fields that admit a definable henselian valuation with real closed residue field. We do so by first proving this for the more general setting of almost real closed fields.
Keywords
Cite
@article{arxiv.2410.10344,
title = {Definable henselian valuations on dp-minimal real fields},
author = {Lothar Sebastian Krapp and Salma Kuhlmann and Lasse Vogel},
journal= {arXiv preprint arXiv:2410.10344},
year = {2024}
}
Comments
12 pages