| 余因子系的等价定义与树形表示 |
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| 引用本文： | 王晓辉.余因子系的等价定义与树形表示[J].东北师大学报(自然科学版),2007,39(3):8-11. |
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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： | 利用图论的方法,讨论了余因子系的性质,分析了余因子系的等价定义,给出了几种重要的等价形式.并利用树的特殊结构,给出了余因子系的树形表示,为引入多项式系各种形式的结式矩阵做了理论准备.
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| 关 键 词： | 惟一分解环 余因子系 完全图 支撑树 |
| 文章编号： | 1000-1832（2007）03-0008-04 |
| 修稿时间： | 2007-04-05 |
Equivalent definitions and tree-form representations for cofactor systems |
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| WANG Xiao-hui.Equivalent definitions and tree-form representations for cofactor systems[J].Journal of Northeast Normal University (Natural Science Edition),2007,39(3):8-11. |
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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: | This paper,based on graph theories,investigates properties of the cofactor system of univariate polynomials and derive several equivalent definitions for a cofactor system.Furthermore,by means of the special structure of a tree,it presents tree-form representations for cofactor systems.The results in this paper should become theoretical preparations for introducing kinds of resultant matrices of polynomial system. |
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| Keywords: | unique factorization domain cofactor system complete graph supporting tree |
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