| 素数p在Q(u~(1/6))中的素理想分解 |
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| 引用本文： | 占金虎,沈婉蓉. 素数p在Q(u~(1/6))中的素理想分解[J]. 高师理科学刊, 2009, 0(1) |
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| 作者姓名： | 占金虎 沈婉蓉 |
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| 作者单位： | 西北大学数学系; |
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| 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的六次根扩张Q(u～(1/6))中的分解问题,并完全确定了分解所可能有的形式(p|6,(p,u)=1).
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| 关 键 词： | 素理想 全分歧的 素的 Eisenstein多项式 |
Decomposition of prime ideal pin Q(u~(1/6)) |
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| ZHAN Jin-hu,SHENG Wan-rong. Decomposition of prime ideal pin Q(u~(1/6))[J]. Journal of Science of Teachers＇College and University, 2009, 0(1) |
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| Authors: | ZHAN Jin-hu SHENG Wan-rong |
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| Affiliation: | Department of Mathematics;Northwest University;Xi'an 710069;China |
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| Abstract: | Q is the field of rational number,using the method of local field,discussed the problem of the law of decomposition of prime ideal p in Q(u～(1/6)).Established the possible type of decomposition of prime ideal when(p |6,(p,u)=1). |
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| Keywords: | prime ideal fully ramified prime Eisenstein polynomial |
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