| 余因子系与公因子分次判别准则 |
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| 引用本文： | 王晓辉.余因子系与公因子分次判别准则[J].东北师大学报(自然科学版),2006,38(4):1-5. |
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| 作者姓名： | 王晓辉 |
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| 作者单位： | 东北师范大学数学与统计学院,吉林,长春,130024 |
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| 基金项目： | 国家自然科学基金资助项目(10571102) |
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| 摘 要： | 引进了余因子系的概念,并利用余因子系给出一种惟一分解环上多项式系公因子存在性的分次判别准则,为在计算代数几何等领域的深入应用提供了理论依据.
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| 关 键 词： | 惟一分解环 余因子系 分次判别准则 |
| 文章编号： | 1000-1832（2006）04-0001-05 |
| 收稿时间： | 2006-08-20 |
| 修稿时间： | 2006年8月20日 |
The cofactor system and a criterion on common factor with given arbitrary degree |
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| WANG Xiao-hui.The cofactor system and a criterion on common factor with given arbitrary degree[J].Journal of Northeast Normal University (Natural Science Edition),2006,38(4):1-5. |
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| Authors: | WANG Xiao-hui |
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| Institution: | School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China |
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| Abstract: | The theory about common factor of polynomials is very important in many research fields,such as symbolic computation,interpolation theory,automatic theorem proving,and robotics.This paper introduces the cofactor system of a polynomial system on unique factorization domain.Using the cofactor system,it obtains a criterion on common factor with given arbitrary degree.This result provides a theory foundation of application in computational algebraic geometry and other corresponding fields. |
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| Keywords: | unique factorization domain cofactor system criterion according to degree |
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