特征 2 中普菲斯特倍数的各向同性指数

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2024-06-27 DOI:10.1016/j.jpaa.2024.107759

Nico Lorenz , Kristýna Zemková

引用次数: 0

摘要

假设是一个特征为 2 的域，一个在上的-倍双线性普菲斯特形式和一个在上的任意二次形式。在本注释中，我们研究了和的维特指数、缺陷、总各向同性指数和高各向同性指数，并证明了这两个形式在某些域扩展上的指数之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Isotropy indices of Pfister multiples in characteristic 2

Let F be a field of characteristic 2, π an n-fold bilinear Pfister form over F and φ an arbitrary quadratic form over F. In this note, we investigate Witt index, defect, total isotropy index and higher isotropy indices of φ and $π \otimes φ$ and prove relations among the indices of these two forms over certain field extensions.

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来源期刊

Journal of Pure and Applied Algebra 数学-数学

CiteScore

1.70

自引率

12.50%

发文量

225

审稿时长

17 days

期刊介绍： The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.