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ordering; division ring

References:

[1] A. Prestel: **Lectures on Formally Real Fields. Lecture Notes in Math. 1093**. Springer Verlag, , 1984. MR 0769847

[2] T. Szele: **On ordered skew fields**. Proc. Amer. Math. Soc. 3 (1952), 410–413. DOI 10.1090/S0002-9939-1952-0047017-7 | MR 0047017 | Zbl 0047.03104