Note on the rings of integers of certain tame 2-galois extensions over a number field

被引：0

作者：

H. Ichimura

机构：

[1] Ibaraki University,

来源：

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2006年 / 76卷

关键词：

11R33;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For a number fieldF, we prove that any tame D4-extensionN/F has a normal integral basis (NIB) if and only if any tame (2, 2)-extensionK/F has a NIB.

引用

共 50 条

[41] RANK GROWTH OF ABELIAN VARIETIES OVER CERTAIN FINITE GALOIS EXTENSIONS
Choi, Seokhyun
Im, Bo-Hae
arXiv,
[42] ON UNRAMIFIED GALOIS EXTENSIONS OVER MAXIMUM ABELIAN EXTENSIONS OF ALGEBRAIC NUMBER-FIELDS
ASADA, M
MATHEMATISCHE ANNALEN, 1985, 270 (04) : 477 - 487
[43] Counting the number of distinct real roots of certain polynomials by Bezoutian and the Galois groups over the rational number field
Otake, Shuichi
LINEAR & MULTILINEAR ALGEBRA, 2013, 61 (04): : 429 - 441
[44] Galois module structure of the square root of the inverse different in even degree tame extensions of number fields
Caputo, Luca
Vinatier, Stephan
JOURNAL OF ALGEBRA, 2016, 468 : 103 - 154
[45] Abelian codes over Galois rings closed under certain permutations
Kiran, T
Rajan, BS
IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (09) : 2242 - 2253
[46] QUANTUM-MECHANICS OVER GALOIS EXTENSIONS OF NUMBER-FIELDS
KHRENNIKOV, AY
DOKLADY AKADEMII NAUK SSSR, 1990, 315 (04): : 860 - 864
[47] HOMOMORPHISMS AND EXTENSIONS OF MODULES OVER CERTAIN DIFFERENTIAL POLYNOMIAL RINGS
MCCONNELL, JC
ROBSON, JC
JOURNAL OF ALGEBRA, 1973, 26 (02) : 319 - 342
[48] A Note on Interleaved Reed-Solomon Codes Over Galois Rings
Armand, Marc A.
IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (04) : 1574 - 1581
[49] RELATIVE GALOIS MODULE STRUCTURE OF RINGS OF INTEGERS AND ELLIPTIC FUNCTIONS .2.
TAYLOR, MJ
ANNALS OF MATHEMATICS, 1985, 121 (03) : 519 - 535
[50] EXTENSIONS OF RINGS OVER 2-PRIMAL RINGS
Hashemi, E.
Khalilnezhad, Kh
Alhevaz, A.
MATEMATICHE, 2019, 74 (01): : 141 - 162

← 1 2 3 4 5 →