کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596294 1336160 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Orthogonal Pfister involutions in characteristic two
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Orthogonal Pfister involutions in characteristic two
چکیده انگلیسی

We show that over a field of characteristic 2 a central simple algebra with orthogonal involution that decomposes into a product of quaternion algebras with involution is either anisotropic or metabolic. We use this to define an invariant of such orthogonal involutions that completely determines the isotropy behaviour of the involution. We also give an example of a non-totally decomposable algebra with orthogonal involution that becomes totally decomposable over every splitting field of the algebra.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 218, Issue 10, October 2014, Pages 1900–1915
نویسندگان
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