余因子系的等价定义与树形表示  

Equivalent definitions and tree-form representations for cofactor systems

作　　者：王晓辉[1] 

机构地区：[1]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2007年第3期8-11,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10571102)

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.　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 

分 类 号：O187.1[理学—数学]