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Witt kernels of bi-quadratic extensions in characteristic 2

Published online by Cambridge University Press:  17 April 2009

Hamza Ahmad
Hamza Ahmad
Affiliation:
Department of Mathematical Sciences, Saginaw Valley State University, University Center, MI 48710, United States of America, e-mail: hyahmad@svsu.edu
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Let κ be a field of characteristic 2. The author's previous results (Arch. Math. (1994)) are used to prove the excellence of quadratic extensions of κ. This in turn is used to determine the Witt kernel of a quadratic extension up to Witt equivalence. An example is given to show that Witt equivalence cannot be strengthened to isometry.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 433 - 440
Copyright
Copyright © Australian Mathematical Society 2004

References

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