| 有理数域上的不可约多项式 |
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| 引用本文： | 陈林,田应智.有理数域上的不可约多项式[J].伊犁师范学院学报(自然科学版),2009(2):13-16. |
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| 作者姓名： | 陈林 田应智 |
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| 作者单位： | 1. 伊犁师范学院,数学系,新疆,伊宁,835000;新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046
2. 新疆大学,数学与系统科学学院,新疆,乌鲁木齐,830046 |
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| 摘 要： | 主要利用Eisenstein判别法及其一些推广来研究一些特殊的有理数域上的不可约多项式结构．通过对研究整系数不可约多项式所得的结果进行总结和归纳，对一些特殊的整系数多项式的不可约性给出了判断，并对文献中的两个定理给出了其他证明方法．
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| 关 键 词： | Eisenstein判别法 不可约 多项式 |
The Irreducible Polynomials Over the Rational Number Field |
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| CHEN Lin,TIAN Ying-zhi.The Irreducible Polynomials Over the Rational Number Field[J].Journal of Ili Normal University,2009(2):13-16. |
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| Authors: | CHEN Lin TIAN Ying-zhi |
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| Institution: | CHEN Lin, TIAN Ying-zhi (1.Dept. of Math., Yili Normal University, Yining 835000, Xinjiang; 2. College of Mathematics and System Science, Xinjiang University, Urumqi 830046, Xinjiang) |
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| Abstract: | With Eisentein criterion and its extended forms, this paper analysed some structures of irreducible polynomials over integer ring by summarizing and inducing the conclusions of the formers, and did some study and exploration to this question. Meanwhile, the author makes a criterion to find the irreducibility of some classes of integral polynomials and some other proofs of theorems related to articles 1 and 3. |
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| Keywords: | Eisenstein criterion irreducibility polynomial |
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