References
Arason, J.K., Pfister, A.: Beweis des Krullschen Durchschnittsatzes für den Wittring. Inventiones. Math.12, 173–176 (1971)
Artin, E.: Elements of Algebraic Geometry. New York: New York University, 1955
Bröcker, L.: Über eine Klasse pythagoriescher Körper. Arch. der Math.23, 405–407 (1972)
Elman, R., Lam, T.Y.: Pfister forms andK-theory of fields. J. Algebra23, 181–213 (1972)
Elman, R., Lam, T.Y.: Quadratic forms over formally real fields and pythagorean fields. Amer. J. Math.94, 1155–1194 (1972)
Elman, R., Lam, T.Y.: Quadratic forms and theu-invariant, I. Math. Z.131, 283–304 (1973)
Elman, R., Lam, T.Y.: Quadratic forms and theu-invariant, II. To appear in Inventiones Math.21, 125–137 (1973)
Elman, R., Lam, T.Y.: On the quaternion symbol homonorphismg F :k 2 F→B(F). In: Proc. of the Seattle Conference on AlgebraicK-theory (1973). Springer Lecture Notes342, 447–463. Berlin-Heidelberg-New York: Springer 1973
Gupta, H.N., Prestel, A.: Triangle and Schwarz inequality in Pasch-free euclidean geometry. Bull. Acad. Polon. Sci., Sér. Sci. math., astron., phys.20, 999–1003 (1972)
Knebusch, M., Rosenberg, A., Ware, R.: Structure of Witt rings, quotients of abelian group rings, and orderings of fields. Bull. Amer. math. Soc.77, 205–210 (1971)
Lam, T.Y.: The Algebraic Theory of Quadratic Forms. Benjamin, 1973
Pfister, A.: Quadratische Formen in beliebigen Körpern. Inventiones Math.1, 116–132 (1966)
Prestel, A.: Quadratische Semi-Ordnungen und quadratische Formen. To appear in Math. Z.133, 319–342 (1973)
Prestel, A.: Euklidische Geometrie ohne das Axiom von Pasch. To appear in Abh. math. Sem. Univ. Hamburg 41
Prestel, A., Ziegler, M.: Erblich euklidische Körper. To appear in J. reine angew. Math.
Scharlau, W.: Quadratic reciprocity laws. J. Number Theory4, 78–97 (1972)
Witt, E.: Theorie der quadratischen Formen in beliebigen Körpern. J. reine angew. Math.176, 31–44 (1937)
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Supported in part by NSF.
Supported in part by NSF and the Alfred P. Sloan Foundation.
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Elman, R., Lam, TY. & Prestel, A. On some Hasse Principles over formally real fields. Math Z 134, 291–301 (1973). https://doi.org/10.1007/BF01214693
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DOI: https://doi.org/10.1007/BF01214693