Skip to main content
SpringerLink
Log in

Quadratic forms under algebraic extensions

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

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

    Google Scholar 

  2. Cordes, C.: Kaplansky's radical and quadratic forms over non-real fields (to appear in Acta Arithmetica)

  3. Diller, J., Dress, A.: Zur Galoistheorie pythagoreischer Körper. Arch. Math.16, 148–152 (1965)

    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.: On the quaternion symbol homomorphismg F :k 2 F→B(F). Proc. of Seattle AlgebraicK-theory Conference. Springer Lecture Notes in Mathematics342, 447–463 (1972)

    Google Scholar 

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

    Google Scholar 

  8. Elman, R., Lam, T. Y.: Classification theorems for quadratic forms over fields. Comment. Math. Helv.49, 373–381 (1974)

    Google Scholar 

  9. Greenberg, M.: Lectures on forms in many variables. W. A. Benjamin 1969

  10. Knebusch, M.: Ein Satz über die Werte von quadratischen Formen über Körpern. Invent. Math.12, 300–303 (1971)

    Google Scholar 

  11. Knebusch, M.: Generic splitting of quadratic forms. I (to appear in Proc. London Math. Soc.)

  12. Knebusch, M., Scharlau, W.: Über das Verhalten der Witt-Gruppe bei galoischen Körpererweiterungen. Math. Ann.193, 189–196 (1971)

    Google Scholar 

  13. Lam, T. Y.: The algebraic theory of quadratic forms. W. A. Benjamin 1973

  14. Milnor, J.: AlgebraicK-theory and quadratic forms. Invent. Math.9, 318–344 (1970)

    Google Scholar 

  15. Pfister, A.: Darstellung von —1 als Summe von Quadraten in einem Körper. London J. Math.40, 159–165 (1965)

    Google Scholar 

  16. Pfister, A.: Zur Darstellung definiter Funktionen als Summe von Quadraten. Invent. Math.4, 229–237 (1967)

    Google Scholar 

  17. Scharlau, W.: Quadratic forms. Kingston, Ontario: Queen's papers on pure and applied mathematics22 (1969)

Download references

Author information

Authors and Affiliations

  1. University of California, 90024, Los Angeles, Calif.

    Richard Elman & T. Y. Lam

  2. 94720, Berkeley, Calif., USA

    Richard Elman & T. Y. Lam

Authors
  1. Richard Elman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Y. Lam
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by NSF.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elman, R., Lam, T.Y. Quadratic forms under algebraic extensions. Math. Ann. 219, 21–42 (1976). https://doi.org/10.1007/BF01360856

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360856

Keywords

Search

Navigation