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Changed the "title"

edited Mar 20, 2018 at 9:52

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Formally real fields with unique non-Archimedean ordering

My question is rather simple. Do there exist a formally real field that admits a unique ordering (so sums of squares are the positive elements) and such that this ordering is not archimedean?

ac.commutative-algebra

asked Mar 20, 2018 at 9:46

JOSE MANUEL GAMBOA MUTUBERRIA