| 李成举,岳勤.素数p在数域Q(u~(1/2),v~(1/2))上的素理想分解[J].数学年刊A辑,2011,32(5):593~598 |
| 素数p在数域Q(u~(1/2),v~(1/2))上的素理想分解 |
| Prime Ideal Decomposition of Prime p in Number Field Q(u~(1/2),v~(1/2)) |
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| DOI： |
| 中文关键词: 素理想分解 p-Adic赋值 Hensel引理 Krasner引理 |
| 英文关键词:Prime ideal decomposition p-Adic valuation Hensel lemma Krasner lemma |
| 基金项目:国家自然科学基金(No.10771100,No.10971250,No.11171150)资助的项目 |
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| 中文摘要: |
| 运用局部域理论给出了奇素数$p$在数域$K={\Bbb Q}(\sqrt[l]{u}, \sqrt[l]{v})$上的
素理想分解形式, 其中 $l$是奇素数, $u, v\in {\Bbb Z}^*$, 且$\frac u v \notin {\Bbb Q}^l$. |
| 英文摘要: |
| The local field theory is used to give the prime ideal decompositions of odd primes $p$ in the number field
$K={\Bbb Q}(\sqrt[l]{u}, \sqrt[l]{v})$,
where $l$ is an odd prime, $u,v \in {\Bbb Z}^*$ and $\frac uv\notin {\Bbb Q}^l$. |
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