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Keywords = strongly Archimedean partial order

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Article
Bi-Condition of Existence for a Compatible Directed Order on an Arbitrary Field
by Niels Schwartz and YiChuan Yang
Symmetry 2023, 15(1), 215; https://doi.org/10.3390/sym15010215 - 12 Jan 2023
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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. Full article
(This article belongs to the Special Issue The Quaternion Matrix and Its Applications)
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