@article{2548caca3e364df88e7750428510a63b,
title = "Bi-Condition of Existence for a Compatible Directed Order on an Arbitrary Field †",
abstract = "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.",
keywords = "Archimedean partial order, Dedekind cut, algebraic extension, partially ordered field, real field, strong unit, strongly Archimedean partial order, totally ordered field, totally ordered ring",
author = "Niels Schwartz and Yang, \{Yi Chuan\}",
note = "Publisher Copyright: {\textcopyright} 2023 by the authors.",
year = "2023",
month = jan,
doi = "10.3390/sym15010215",
language = "英语",
volume = "15",
journal = "Symmetry",
issn = "2073-8994",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "1",
}