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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Symmetry

سال: 2023

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym15010215