ON RELATIVE POWER INTEGRAL BASIS OF A FAMILY OF NUMBERS FIELDS

被引：4

作者：

Soullami, Abderazak ^{[1
]}

Sahmoudi, Mohammed ^{[2
]}

Boughaleb, Omar ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci, Dept Math, Fes, Morocco

[2] Ibn Tofail Univ, Natl Sch Appl Sci, Lab Engn Sci, Kenitra, Morocco

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 04期

关键词：

discrete valuation ring; Dedekind ring; monogeneity; relative integral basis; discriminant;

D O I：

10.1216/rmj.2021.51.1443

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a number field with ring of integers R and L = K (alpha) where alpha satisfies the irreducible polynomial P (X) = X-3n + aX(3s) - b of R[X] (n, s is an element of N, n > s). We give necessary and sufficient conditions that involve only a, b, s, n to study the monogeneity of L over K. We also present some applications, giving integral bases of some extensions of degree 2 . 3(n), as well, we give their absolute discriminant.

引用

页码：1443 / 1451

页数：9

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