Bourbaki

Corollary

Tag 06ZM, permanent. Cite it as [Bourbaki, Tag 06ZM].

Algebra, chapter VI, § 2. Ordered fields

— On a maximal ordered field K there exists only one ordering compatible with the field structure.

Indeed the positive elements of K are determined by its algebraic structure: they are the squares.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

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Cites

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Transcribed from the printed edition, 2003, Springer. Not translated.