| 艾森斯坦判别法的推广 |
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| 引用本文： | 李桂荣,韩忠月,陈志国.艾森斯坦判别法的推广[J].德州学院学报,2005,21(4):33-35. |
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| 作者姓名： | 李桂荣 韩忠月 陈志国 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 摘 要： | 研究了艾森斯坦判别法的推广.将判别法中素数p所满足的条件放宽后,使艾森斯坦判别法成为其中的一个特例;对<数学通报>1992年第3期一文进行了进一步探讨,并得出新的结论;为判断整系数多项式在有理数域上不可约提供了新的方法.
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| 关 键 词： | 艾森斯坦判别法 不可约 整系数多项式 |
| 文章编号： | 1004-9444（2005）04-0033-03 |
| 收稿时间： | 2005-01-07 |
| 修稿时间： | 2005年1月7日 |
The Generalizability of Eisenstein Discriminance |
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| LI Gui-rong,HAN Zhong-yue,CHEN Zhi-guo.The Generalizability of Eisenstein Discriminance[J].Journal of Dezhou University,2005,21(4):33-35. |
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| Authors: | LI Gui-rong HAN Zhong-yue CHEN Zhi-guo |
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| Abstract: | Studied the generalizability of Eisenstein discriminance. This paper made Eisenstein discriminance become a special case of it, after we had relaxed the condition satisfied by the prime number P in the discriminance; further discussed the paper titled a generalizability of Eisenstein theorem from the March issue of the math aviso 1992 and educed a new conclusion; and provided a new method to judge the irreducibleness of coefficient polynomial in region ofrationality. |
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| Keywords: | Eisenstein-discriminance irreducibleness coefficient polynomial |
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