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余因子系的等价定义与树形表示
Equivalent definitions and tree-form representations for cofactor systems
【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.
【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.
【关键词】 惟一分解环;
余因子系;
完全图;
支撑树;
【Key words】 unique factorization domain; cofactor system; complete graph; supporting tree;
【Key words】 unique factorization domain; cofactor system; complete graph; supporting tree;
【基金】 国家自然科学基金资助项目(10571102)
- 【文献出处】 东北师大学报(自然科学版) ,Journal of Northeast Normal University(Natural Science Edition) , 编辑部邮箱 ,2007年03期
- 【分类号】O157.5
- 【被引频次】1
- 【下载频次】19