| 素数p在Q(u~(1/10))中的素理想分解 |
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| 引用本文： | 占金虎,韩晓伟,刘伟. 素数p在Q(u~(1/10))中的素理想分解[J]. 高师理科学刊, 2010, 0(5) |
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| 作者姓名： | 占金虎 韩晓伟 刘伟 |
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| 作者单位： | 西安市铁一中学; |
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| 基金项目： | 国家自然科学基金项目(10671155) |
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| 摘 要： | 设Q为有理数域,利用局部域的方法,讨论了p在Q的10次根扩张Q(u~(1/10))(u∈R)中的分解问题.并完全确定了(p,10)=1,(p,u)=1时的分解所有可能的形式.
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| 关 键 词： | 素理想 全分歧 素的 Eisenstein多项式 |
Decomposition of prime ideal p in Q(u~(1/10)) |
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| ZHAN Jin-hu,HAN Xiao-wei,LIU Wei. Decomposition of prime ideal p in Q(u~(1/10))[J]. Journal of Science of Teachers＇College and University, 2010, 0(5) |
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| Authors: | ZHAN Jin-hu HAN Xiao-wei LIU Wei |
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| Affiliation: | ZHAN Jin-hu,HAN Xiao-wei,LIU Wei(Xi'an Tieyi Middle School,Xi'an 710054,China) |
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| Abstract: | Q is the field of rational number,by using of the method of local field,the problem of the law of decomposition of prime ideal p in Q(u~(1/10))(u ∈R) was discussed.The possible type of decomposition of prime ideal was given when(p,10)=1,(p,u) = 1. |
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| Keywords: | prime ideal fully ramified prime Eisenstein polynomial |
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