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On Normal Integral Basis of Biquadratic Number Fields Q(m1/2,n1/2)(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2009年03期
Page:
6-11
Research Field:
数学
Publishing date:

Info

Title:
On Normal Integral Basis of Biquadratic Number Fields Q(m1/2,n1/2)
Author(s):
Fang Lingling 1; 2 ; Ji Chungang 2
1. Jiangxi Blue Sky University,Nanchang 330098,China
Keywords:
no rm al integ ra l basis;  b iquadra tic num ber fields;  gene rato r
PACS:
O156.2
DOI:
-
Abstract:
Equ iva lent defin ition is g iven first, then on the prem ise o f the ex istence o fN IB w e prove the genera tor o f NIB in B iquadratic num be r fie lds Q ( m, n ) is unique up to equivalence. At the sam e tim e, w e obta in the generator o f N IB. F ina lly, spec ific exam ples o f d iffe rent cases are g iven to verify the gene rato r

References:

[ 1]  冯克勤. 代数数论[M ]. 北京: 科学出版社, 2001.
[ 2]  纪春岗. ( 2, 2,  , 2)型数域的正规整基[ J] . 南京师大学报: 自然科学版, 1997, 20( 1): 1-5.
[ 3]  刘丽. 四次域Q ( m, n )的正规整基的存在性[ J] . 合肥工业大学学报: 自然科学版, 2006, 29( 4): 506-509.

Memo

Memo:
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Last Update: 2013-04-23