On the theory of quadratic forms over formally real fields. (Zur Theorie der quadratischen Formen über formal reellen Körpern.) (German) Zbl 0273.13018


11E81 Algebraic theory of quadratic forms; Witt groups and rings
12D99 Real and complex fields
Full Text: DOI EuDML


[1] Bröcker, L.: Über eine Klasse pythagoreischer Körper. Arch. Math.23, 405-407 (1972) · Zbl 0251.12102
[2] Bröcker, L.: Zur orthogonalen Geometrie über pythagoreischen Körpern. Erscheint im J. reine angew. Math. · Zbl 0376.10019
[3] Elman, R., Lam, T. Y.: Quadratic forms over formally real and pythagorean fields. Amer. J. Math.94, 1155-1194 (1972) · Zbl 0259.12101
[4] Elman, R., Lam, T. Y., Prestel, A.: On some Hasse-principles over formally real fields. Math. Z.134, 291-301 (1973) · Zbl 0277.15013
[5] Endler, O.: Valuation theory. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0257.12111
[6] Knebusch, M., Rosenberg, A., Ware, R.: Structure of Wittrings, quotients of abelian grouprings and orderings of fields. Bull. Amer. Math. Soc.77, 205-210 (1971) · Zbl 0213.05001
[7] Lorenz, F., Leicht, J.: Die Primideale des Wittschen Ringes. Inventiones math.10, 82-88 (1970) · Zbl 0227.13015
[8] Milnor, J.: Algebraic K-theory and quadratic forms. Inventiones math.9, 318-344 (1970) · Zbl 0199.55501
[9] Milnor, J., Husemöller, D.: Symmetric bilinearforms. Berlin-Heidelberg-New York: Springer 1973
[10] Pfister, A.: Multiplikative quadratische Formen. Arch. Math.16, 363-370 (1965) · Zbl 0146.26001
[11] Pfister, A.: Quadratische Formen in beliebigen Körpern. Inventiones math.1, 116-132 (1966) · Zbl 0142.27203
[12] Prestel, A.: Quadratische Semiordnungen und quadratische Formen. Math. Z.133, 319-342 (1973) · Zbl 0275.12013
[13] Prestel, A., Ziegler, M.: Erblich euklidische Körper. Erscheint in J. reine angew. Math.
[14] Robinson, A.: Introduction to model theory and the metamathematics of algebra. Amsterdam: North-Holland Publishing Company 1963 · Zbl 0118.25302
[15] Scharlau, W.: Induction theorems and the structure of the Witt-group. Inventiones math.11, 37-44 (1970) · Zbl 0204.37503
[16] Springer, T. A.: Sur les formes quadratiques d’indice zero. C.R.Acad.Sci.234, 1517-1519 (1952) · Zbl 0046.24303
[17] Witt, E.: Theorie der quadratischen Formen in beliebigen Körpern. J. reine angew. Math.176, 31-44 (1937) · Zbl 0015.05701
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.