I3=0域上的正交对合

IF 0.7 2区数学 Q2 MATHEMATICS

Journal of Pure and Applied Algebra Pub Date : 2025-04-25 DOI:10.1016/j.jpaa.2025.107979

Karim Johannes Becher , Fatma Kader Bingöl

引用次数: 0

摘要

我们利用I3F=0时特征值不等于2的基域F的u-不变量，给出了具有正则对合的四元数代数上偏厄密形式的u-不变量的上界。

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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Orthogonal involutions over fields with I3=0

We provide upper bounds on the u-invariant for skew-hermitian forms over a quaternion algebra with its canonical involution in terms of the u-invariant of the base field F of characteristic different from 2 when

I^{3} F = 0

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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.