SEXTIC EXTENSION WITH CUBIC SUBFIELD

被引：0

作者：

Charkani, M. E. ^{[1
]}

Sahmoudi, M. ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ Usmba, BP 1796, Fez Atlas 30003, Morocco

来源：

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2014年 / 34卷 / 02期

关键词：

Dedekind ring; monogenicity; power basis; integral basis;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give an integral basis of sextic extensions of type L = Q(`root d, beta) which is a rational quadratic over a pure cubic field K = Q( beta), where d is a rational square free integer and beta is a root of an irreducible polynomial of degree 3. As a consequence, the discriminant DQ( L) of L is straightforwardly computed and the index will be given immediately.

引用

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页码：139 / 150

页数：12

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