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.
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页码：139 / 150
页数：12
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