Article ID Journal Published Year Pages File Type
9498616 Linear Algebra and its Applications 2005 9 Pages PDF
Abstract
For a purely inseparable quartic field extension L/k, we determine the Witt kernel W (L/k) of quadratic k-forms that split hyperbolically over L. In particular, we show that W (L/k) is generated (as a W (k)-module) by quadratic Pfister forms of dimension four.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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The Witt kernels of purely inseparable quartic extensions
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