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Quadratic forms over arbitrary fields. (Quadratische Formen in beliebigen Körpern.) (German) Zbl 0142.27203


MSC:

11E81 Algebraic theory of quadratic forms; Witt groups and rings
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References:

[1] Artin, E.: Über die Zerlegung definiter Funktionen in Quadrate. Abh. Hamburg5, 100-115 (1927) · doi:10.1007/BF02952513
[2] ?, u.O. Schreier: Algebraische Konstruktion reeller Körper. Abh. Hamburg5, 85-99 (1927). · doi:10.1007/BF02952512
[3] Cassels, J.W.S.: On the representation of rational functions as sums of squares. Acta Arithm.9, 79-82 (1964). · Zbl 0131.25001
[4] Chevalley, C.: The algebraic theory of spinors. Columbia Univ. Press 1954. · Zbl 0057.25901
[5] Gross, H., andH.R. Fischer: Non real fieldsk and infinite dimensionalk-vectorspaces. Math. Ann.159, 285-308 (1965). · Zbl 0132.00704 · doi:10.1007/BF01362447
[6] Lenz, H.: Einige Ungleichungen aus der Algebra der quadratischen Formen. Arch. Math.14, 373-382 (1963). · Zbl 0132.00801 · doi:10.1007/BF01234972
[7] O’Meara, O.T.: Introduction to quadratic forms. Berlin 1963.
[8] Pfister, A.: Darstellung von ? 1 als Summe von Quadraten in einem Körper. London J. of Math.40, 159-165 (1965). · Zbl 0131.25002 · doi:10.1112/jlms/s1-40.1.159
[9] ?: Multiplikative quadratische Formen. Arch. Math.16, 363-370 (1965). · Zbl 0146.26001 · doi:10.1007/BF01220043
[10] Pfister, A.: Multiplikative quadratische Formen. Vortrag auf der Zahlentheorie-Tagung in Oberwolfach 1964 (erscheint demnächst).
[11] Witt, E.: Theorie der quadratischen Formen in beliebigen Körpern. J. reine angew. Math.176, 31-44 (1937). · Zbl 0015.05701 · doi:10.1515/crll.1937.176.31
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