| 素理想(P)在数域Q(u~(1/2m))上的分解 |
| |
| 引用本文： | 王剑飞.素理想(P)在数域Q(u~(1/2m))上的分解[J].辽东学院学报(自然科学版),2010(3). |
| |
| 作者姓名： | 王剑飞 |
| |
| 作者单位： | 辽宁大学数学院; |
| |
| 摘 要： | 设Q为有理数域,利用局部域的方法,讨论了素数p在Q的2m次根扩张Q(u~(1/2m))中的素理想分解问题(其中m为奇素数),并完全确定了素数p在域Q(u~(1/2m))上可能的具体素理想分解形式。
|
| 关 键 词： | 素理想分解 局部域 Eisenstein多项式 |
Decomposition of Prime Ideal P in Q(u~(1/2m)) |
| |
| WANG Jian-fei.Decomposition of Prime Ideal P in Q(u~(1/2m))[J].Journal of Liaodong University：Natural Sciences,2010(3). |
| |
| Authors: | WANG Jian-fei |
| |
| Affiliation: | WANG Jian-fei(Department of Mathematics,Liaoning University,Shenyang 110036,China) |
| |
| Abstract: | Assume that Q is the field of rational numbers,then discuss the problem of the law of decomposition of prime ideal P in Q(u~(1/2m)) using the method of local field(m is an odd prime).The possible type of decomposition of prime ideal has also been established. |
| |
| Keywords: | prime ideal decomposition local field Eisenstein polynomial |
| 本文献已被 CNKI 等数据库收录！ |
