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References
R. BAEZA: Über die Stufe von Dedekind-Ringen, Archiv der Math. 33 (1979) p. 226–231.
N. BOURBAKI: Algèbre commutative, Chap. II, Hermann, Paris (1961).
J. BOCHNAK, G. EFROYMSON: Real Algebraic Geometry and the 17 th Hilbert Problem, Math. Ann. 251 (1980) p. 213–241.
L. BRÖCKER: Positivbereiche in kommutativen Ringen, erscheint in Abh. Math. Sem. Univ. Hamburg.
L. BRÖCKER, A. DRESS, R. SCHARLAU: An (almost) trivial local-global principle for the representation of −1 as a sum of squares in an arbitrary commutative ring (Vorabdruck).
M. D. CHOI, Z. D. DAI, T. Y. LAM, B. REZNICK: The Pythagoras Number of Some Affine Algebras and Local Algebras (Preprint).
M.-F. COSTE-ROY: Thèse, Université de Paris-Nord (1980).
M. COSTE: Ensembles semi-algébriques et fonctions de Nash, Prépublication de l’Université de Paris-Nord (1981).
M. KNEBUSCH: Specialization of quadratic and symmetric bilinear forms, and a norm theorem, Acta Arithmetica 24 (1973) p. 279–299.
M. KNEBUSCH: Symmetric bilinear forms over algebraic varieties, in Conference on Quadratic Forms, Queen’s papers in pure and applied Mathematics no 46 (1977) p. 103–283.
T. Y. LAM: The theory of ordered fields, in Ring theory and algebra III, Lecture notes in pure and applied mathematics, Vol. 55, Marcel Dekker (1980).
S. LANG: The theory of real places, Annals of Mathematics, Vol. 57 (1953) p. 378–391.
F. LORENZ: Quadratische Formen und die Artin-Schreiersche Theorie der formal reellen Körper, Bull. Soc. Math. France, Mémoire 48 (1977) p. 61–73.
F. LORENZ: Einige Bemerkungen zu einem Satz von Sylvester, Vorabdruck (1978).
A. PRESTEL: Lectures on formally real fields, IMPA Lecture Notes, Rio de Rio de Janeiro (1975).
G. STENGLE: A Nullstellensatz and a Positivstellensatz in Semialgebraic Geometry, Math. Ann. 207 (1974) p. 87–97.
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Colliot-Thélène, JL. (1982). Variantes du Nullstellensatz réel et anneaux formellement réels. In: Colliot-Thélène, JL., Coste, M., Mahé, L., Roy, MF. (eds) Géométrie Algébrique Réelle et Formes Quadratiques. Lecture Notes in Mathematics, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062251
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DOI: https://doi.org/10.1007/BFb0062251
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