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| 摘要: |
| 设Q为有理数域，F=Q(2l√U)（其中l是奇素数，u ? N），OF为域F对应的代数整数环。本文运用局部域的方法彻底解决了任意素数p在代数整数环OF中的素理想的分解问题，并且完全确定素数p在OF中可能出现的素理想分解的具体形式。 |
| 关键词: 素理想 局部域 Eisenstein多项式 |
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| Decomposition of Prime Ideal Q(2l√U) over |
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TANG Min-Wei, XIANG Ju-Bo
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| Abstract: |
| Assumption Q is the field of rational number, F=Q(2l√U)(l is an odd prime number and u ? N), OF is the integral ring of the field F. In this paper ,the problem of law of decomposition of every prime number p in OF has been discussed and solved completely by using the method of local field, and the possible specific type of decomposition of prime ideal has been established. |
| Key words: prime ideal local field Eisenstein polynomial |
