Bi-Condition of Existence for a Compatible Directed Order on an Arbitrary Field

Niels Schwartz; YiChuan Yang

doi:10.3390/sym15010215

Symmetry (Jan 2023)

Bi-Condition of Existence for a Compatible Directed Order on an Arbitrary Field

Niels Schwartz,
YiChuan Yang

Affiliations

Niels Schwartz: Fakultät für Informatik und Mathematik, Universität Passau, Postfach 2540, 94030 Passau, Germany
YiChuan Yang: School of Mathematical Sciences, Beihang University, Shahe Campus, Beijing 102206, China

DOI: https://doi.org/10.3390/sym15010215
Journal volume & issue: Vol. 15, no. 1
p. 215

Abstract

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One proves that a field carries a compatible directed order if and only if it has characteristic 0 and is real or has a transcendence degree of at least 1 over the field of rational numbers.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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