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Pfister ideals in Witt rings

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References

  1. Arason, J.K.: Cohomologische Invarianten quadratischer Formen. J. Algebra36, 448–491 (1975)

    Google Scholar 

  2. Arason, J.K., Pfister, A.: Zur Theorie der quadratischen Formen über formalreellen Körpern. Math. Z.153, 289–296 (1977)

    Google Scholar 

  3. Becker, E., Köpping, E.: Reduzierte quadratische Formen und Semiordnungen reeller Körper. Abh. Math. Sem. Univ. Hamburg46, 143–177 (1977)

    Google Scholar 

  4. Bröcker, L.: Zur Theorie der quadratischen Formen über formal reellen Körpern. Math. Ann.210, 233–256 (1974)

    Google Scholar 

  5. Bröcker, L.: Über die Pythagoraszahl eines Körpers. Arch. Math.31, 133–136 (1978)

    Google Scholar 

  6. Elman, R.: Quadratic forms and theu-invariant. III. Proceedings of Quadratic Form Conference, 1976. Orzech, G. (ed.). Queen's Papers in Pure and Applied Mathematics, Vol.46, pp. 422–444. Queen's University, Kingston, Ontario 1977

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  10. Elman, R., Lam, T.Y.: Quadratic forms and theu-invariant. II. Invent. Math.21, 125–137 (1973)

    Google Scholar 

  11. Elman, R., Lam, T.Y., Prestel, A.: On some Hasse principles over formally real fields. Math. Z.134, 291–301 (1973)

    Google Scholar 

  12. Elman, R., Lam, T.Y., Wadsworth, A.: Amenable fields and Pfister extensions. Proceedings of Quadratic Form Conference, 1976. Orzech, G. (ed.). Queen's Papers on Pure and Applied Mathematics, Vol.46, pp. 445–492. Queen's University, Kingston, Ontario 1977

    Google Scholar 

  13. Elman, R., Lam, T.Y., Wadsworth, A.: Orderings under field extensions. J. Reine Angew. Math.306, 7–27 (1979)

    Google Scholar 

  14. Elman, R., Lam, T.Y., Wadsworth, A.: Function fields of Pfister forms. Invent. Math.51, 61–75 (1979)

    Google Scholar 

  15. Elman, R., Lam, T.Y., Wadsworth, A.: Quadratic forms under multiquadratic extensions. Indag. Math. (to appear)

  16. Kleinstein, J., Rosenberg, A.: Succinct and representational Witt rings (to appear)

  17. Knebusch, M.: Generic splitting of quadratic forms. I. Proc. London Math. Soc.33, 65–93 (1976)

    Google Scholar 

  18. Knebusch, M.: Generic splitting of quadratic forms. II. Proc. London Math. Soc.34, 1–31 (1977)

    Google Scholar 

  19. Knebusch, M., Rosenberg, A., Ware, R.: Signatures on semilocal rings. J. Algebra26, 208–250 (1973)

    Google Scholar 

  20. Lam, T.Y.: The algebraic theory of quadratic forms. Reading, MA: Benjamin 1973

    Google Scholar 

  21. Lam, T.Y.: Ten lectures on quadratic forms over fields. Proceedings of Quadratic Form Conference 1976. Orzech, G. (ed.). Queen's Papers in Pure and Applied Mathematics, Vol.46, pp. 1–102. Queen's University, Kingston, Ontario 1977

    Google Scholar 

  22. Lorenz, F.: Quadratische Formen über Körpern. Springer Lecture Notes in Mathematics, Vol.130. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  23. Marshall, M.: Some local global principles for formally real fields. Can. J. Math.29, 606–614 (1977)

    Google Scholar 

  24. Marshall, M.: Classification of finite spaces of orderings. Can. J. Math.31, 320–330 (1979)

    Google Scholar 

  25. O'Meara, O.T.: Introduction to quadratic forms. Berlin, Heidelberg, New York: Springer 1963

    Google Scholar 

  26. Prestel, A.: Remarks on the Pythagoras and Hasse number of real fields. J. Reine Angew. Math.303, 284–294 (1978)

    Google Scholar 

  27. Shapiro, D.: Piecewise equivalence. Private Notes. March 1978

  28. Shapiro, D.: Hasse principle for the Hurwitz problem. J. Reine Angew. Math.301, 179–190 (1978)

    Google Scholar 

  29. Ware, R.: Hasse principles and theu-invariant over formally real fields. Nagoya Math. J.61, 117–125 (1976)

    Google Scholar 

  30. Wadsworth, A., Shapiro, D.: Multiples of round and Pfister forms. Math. Z.157, 53–62 (1977)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, CA

    R. Elman, T. Y. Lam & A. R. Wadsworth

  2. Department of Mathematics, University of California, 94720, Berkeley, CA

    R. Elman, T. Y. Lam & A. R. Wadsworth

  3. Department of Mathematics, University of California, 92093, San Diego, CA, USA

    R. Elman, T. Y. Lam & A. R. Wadsworth

Authors
  1. R. Elman
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  2. T. Y. Lam
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  3. A. R. Wadsworth
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Supported in part by NSF, and by the Alfred P. Sloan Foundation

Supported in part by NSF, and by the Miller Institute for Basic Research

Supported in part by NSF

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Elman, R., Lam, T.Y. & Wadsworth, A.R. Pfister ideals in Witt rings. Math. Ann. 245, 219–245 (1979). https://doi.org/10.1007/BF01673508

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