کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497518 | 1630757 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Witt kernels of function field extensions in characteristic 2
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Witt kernels of function field extensions in characteristic 2 Witt kernels of function field extensions in characteristic 2](/preview/png/9497518.png)
چکیده انگلیسی
In characteristic 2 we give a complete characterization of anisotropic symmetric bilinear forms that become metabolic over the function field of a quadratic form. We also study the hyperbolicity of nonsingular quadratic forms over such a field by generalizing some results by Fitzgerald (Pacific J. Math. 109 (1983) 89). As an application, we introduce and study the notion of Pfister neighbors for bilinear forms, and classify anisotropic bilinear forms of height 1, i.e. those that become metabolic over their own function fields. Other consequences are also included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 199, Issues 1â3, 1 July 2005, Pages 167-182
Journal: Journal of Pure and Applied Algebra - Volume 199, Issues 1â3, 1 July 2005, Pages 167-182
نویسندگان
Ahmed Laghribi,