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The structure of the Witt ring and quotients of abelian group rings

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Part of the Lecture Notes in Mathematics book series (LNM,volume 353)

Keywords

  • Prime Ideal
  • Nilpotent Element
  • Torsion Group
  • Torsion Subgroup
  • Profinite Group

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References

  1. A. A. Belskii, Cohomological Witt Rings, Math. USSR-Izvestija 2 (1968), pp. 1101–1115.

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  2. D. K. Harrison, Witt rings, Lecture notes, Department of Mathematics, University of Kentucky, Lexington, Kentucky, 1970.

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  3. M. Knebusch, Grothendieck and Witt ringe von nichtausgearteten symmetrischen Bilinearformen, Sitzber. Heidelberg Akad. Wiss. 1969/1970, pp. 93–157.

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  4. M. Knebusch, A. Rosenberg, and R. Ware, Structure of Witt rings and quotients of abelian group rings, Amer. J. Math., (to appear).

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  5. J. Leicht und F. Lorenz, Die Primideale des Wittschen Ringes, Invent. Math. 10 (1970), pp. 82–88.

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  6. J. Milnor (with D. Husemoller), Symmetric bilinear forms, Lecture notes, Institute for Advanced Study, Princeton, 1971.

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  7. A. Pfister, Quadratische Formen in Beliebigen Körpern, Invent. Math. 1 (1966), 116–132.

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  8. W. Scharlau, Quadratische Formen und Galois-Cohomologie, Invent. Math. 4 (1967), pp. 238–264.

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  9. E. Witt, Theorie der quadratische Formen in beliegigen Körpern, J. Reine Angew. Math. 176 (1937), pp. 31–44.

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© 1973 Springer-Verlag

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Ware, R. (1973). The structure of the Witt ring and quotients of abelian group rings. In: Proceedings of the Conference on Orders, Group Rings and Related Topics. Lecture Notes in Mathematics, vol 353. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059269

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  • DOI: https://doi.org/10.1007/BFb0059269

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06518-0

  • Online ISBN: 978-3-540-37818-1

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