Biquaternion division algebras over rational function fields

被引：2

作者：

Becher, Karim Johannes ^{[1
]}

机构：

[1] Univ Antwerp, Dept Wiskunde, Middelheimlaan 1, B-2020 Antwerp, Belgium

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2020年 / 224卷 / 07期

关键词：

Milnor K-theory; Quadratic form; Valuation; Ramification; Bezoutian form;

D O I：

10.1016/j.jpaa.2019.106282

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let E be a field of characteristic different from 2 which is the centre of a quaternion division algebra and which is not euclidean. Then there exists a biquaternion division algebra over the rational function field E(t) which does not contain any quaternion algebra defined over E. The proof is based on the study of Bezoutian forms developed in [1]. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：7

共 7 条

[1]

[Anonymous], 2007, Central Simple Algebras and Galois Cohomology

[2]

[Anonymous], 2005, ALGEBRA NUMBER THEOR

[3] Ramification sequences and Bezoutian forms [J].