Witt kernels of quadratic forms for purely inseparable multiquadratic extensions in characteristic 2
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- by Ahmed Laghribi
- Proc. Amer. Math. Soc. 134 (2006), 2481-2486
- DOI: https://doi.org/10.1090/S0002-9939-06-08649-7
- Published electronically: April 13, 2006
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Abstract:
The aim of this paper is to give a complete answer to the question of hyperbolicity of nonsingular quadratic forms over purely inseparable multiquadratic extensions in characteristic $2$. This completes partial computations of Mammone and Moresi.References
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Bibliographic Information
- Ahmed Laghribi
- Affiliation: Laboratoire de Mathématiques de Lens EA 2462, Faculté des Sciences Jean Perrin, rue Jean Souvraz - SP18, F-62307 Lens, France
- Email: laghribi@euler.univ-artois.fr
- Received by editor(s): July 26, 2004
- Received by editor(s) in revised form: January 7, 2005
- Published electronically: April 13, 2006
- Additional Notes: The author was supported by the European research network HPRN-CT-2002-00287 “Algebraic $K$-Theory, Linear Algebraic Groups and Related Structures”.
- Communicated by: Lance W. Small
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 2481-2486
- MSC (2000): Primary 11E04, 11E81
- DOI: https://doi.org/10.1090/S0002-9939-06-08649-7
- MathSciNet review: 2213724