Geodesic
Some Local-Global Principles for Formally Real Fields
Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 606-614

Voir la notice de l'article provenant de la source Cambridge University Press

Let F be a formally real field, and let A be a preordering of F; that is, a subset of F satisfying Δ + Δ = Δ, Δ Δ = Δ, F2 ⊆ Δ. Denote by X Δ the set of all orderings P of F satisfying P ⊇ Δ. Thus Δ = ⋂ p ∈xΔP. This result is well known. It was first proved by Artin [3, Satz 1] in the case Δ = ∑ F2 . 
Marshall, M. Some Local-Global Principles for Formally Real Fields. Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 606-614. doi: 10.4153/CJM-1977-061-3
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