The Witt Ring Kernel for a Fourth Degree Field Extension

@inproceedings{Sivatski2008TheWR,
  title={The Witt Ring Kernel for a Fourth Degree Field Extension},
  author={A. S. Sivatski},
  year={2008}
}
We compute the Witt ring kernel for an arbitrary field extension of degree 4 and characteristic different from 2 in terms of the coefficients of a polynomial determining the extension. In the case where the lower field is not formally real we prove that the intersection of any power n of its fundamental ideal and the Witt ring kernel is generated by n-fold Pfister forms. Let F be a field of characteristic different from 2. As usual denote by W (F ) the Witt ring of F , i.e. the ring of… CONTINUE READING

From This Paper

Topics from this paper.
2 Citations
8 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-8 of 8 references

Biquaternion algebras and quartic extensions

  • T. Y. Lam, D. B. Leep, J.-P. Tignol
  • Pub. Math. I.H.E.S
  • 1993
1 Excerpt

Quadratic and Hermitian forms, Springer, Berlin Heidelberg New York

  • W. Scharlau
  • 1985
1 Excerpt

Witt rings and Brauer groups under multiquadratic extensions

  • R. Elman, T. Y. Lam, J.-P. Tignol, A. R. Wadsworth
  • I., Amer. J. Math
  • 1983
3 Excerpts

Witt rings and Brauer groups under multiquadratic extensions , I .

  • R. Elman, Y. LamT., Tignol J.-P., R. WadsworthA.
  • Amer . J . Math .
  • 1983

Similar Papers

Loading similar papers…