Skip to main content
Log in

On some Hasse Principles over formally real fields

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Arason, J.K., Pfister, A.: Beweis des Krullschen Durchschnittsatzes für den Wittring. Inventiones. Math.12, 173–176 (1971)

    Google Scholar 

  2. Artin, E.: Elements of Algebraic Geometry. New York: New York University, 1955

    Google Scholar 

  3. Bröcker, L.: Über eine Klasse pythagoriescher Körper. Arch. der Math.23, 405–407 (1972)

    Google Scholar 

  4. Elman, R., Lam, T.Y.: Pfister forms andK-theory of fields. J. Algebra23, 181–213 (1972)

    Google Scholar 

  5. Elman, R., Lam, T.Y.: Quadratic forms over formally real fields and pythagorean fields. Amer. J. Math.94, 1155–1194 (1972)

    Google Scholar 

  6. Elman, R., Lam, T.Y.: Quadratic forms and theu-invariant, I. Math. Z.131, 283–304 (1973)

    Google Scholar 

  7. Elman, R., Lam, T.Y.: Quadratic forms and theu-invariant, II. To appear in Inventiones Math.21, 125–137 (1973)

    Google Scholar 

  8. Elman, R., Lam, T.Y.: On the quaternion symbol homonorphismg F :k 2 FB(F). In: Proc. of the Seattle Conference on AlgebraicK-theory (1973). Springer Lecture Notes342, 447–463. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  9. 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)

    Google Scholar 

  10. 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)

    Google Scholar 

  11. Lam, T.Y.: The Algebraic Theory of Quadratic Forms. Benjamin, 1973

  12. Pfister, A.: Quadratische Formen in beliebigen Körpern. Inventiones Math.1, 116–132 (1966)

    Google Scholar 

  13. Prestel, A.: Quadratische Semi-Ordnungen und quadratische Formen. To appear in Math. Z.133, 319–342 (1973)

    Google Scholar 

  14. Prestel, A.: Euklidische Geometrie ohne das Axiom von Pasch. To appear in Abh. math. Sem. Univ. Hamburg 41

  15. Prestel, A., Ziegler, M.: Erblich euklidische Körper. To appear in J. reine angew. Math.

  16. Scharlau, W.: Quadratic reciprocity laws. J. Number Theory4, 78–97 (1972)

    Google Scholar 

  17. Witt, E.: Theorie der quadratischen Formen in beliebigen Körpern. J. reine angew. Math.176, 31–44 (1937)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by NSF.

Supported in part by NSF and the Alfred P. Sloan Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214693

Keywords

Navigation