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

Authors :
Schwartz, Niels
Yang, YiChuan
Source :
Symmetry (20738994). Jan2023, Vol. 15 Issue 1, p215. 6p.
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*POISSON algebras

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
1
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
161563845
Full Text :
https://doi.org/10.3390/sym15010215
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