Isotropy indices of Pfister multiples in characteristic 2

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
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引用次数: 0

Abstract

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 πφ and prove relations among the indices of these two forms over certain field extensions.

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特征 2 中普菲斯特倍数的各向同性指数
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。
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来源期刊
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.
期刊最新文献
Editorial Board Editorial Board A negative answer to a Bahturin-Regev conjecture about regular algebras in positive characteristic Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class The category of π-finite spaces
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