On integral bases in relative quadratic extensions

被引：3

作者：

Daberkow, M

Pohst, M

机构：

[1] Technische Universität Berlin, Fachbereich 3, Sekr. Ma8-1, 10623 Berlin

来源：

MATHEMATICS OF COMPUTATION | 1996年 / 65卷 / 213期

关键词：

D O I：

10.1090/S0025-5718-96-00686-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be an algebraic number field and epsilon a quadratic extension with epsilon = F(root mu). We describe a minimal set of elements for generating the integral elements o(epsilon) of epsilon as an o(F) module. A consequence of this theoretical result is an algorithm for constructing such a set. The construction yields a simple procedure for computing an integral basis of epsilon as well. In the last section, we present examples of relative integral bases which were computed with the new algorithm and also give some running times.

引用

页码：319 / 329

页数：11