零维理想的仿射代数簇  

On Affine Varieties of Zero Dimensional Ideals

作　　者：何苗[1] 尹久元[1] 

机构地区：[1]电子科技大学应用数学学院,四川成都611731

出　　处：《四川文理学院学报》2011年第5期15-18,共4页Sichuan University of Arts and Science Journal

摘　　要：设K为一个域,I是多项式环K[x1,x2,…,xn]上的零维理想.研究了I的仿射代数簇V(I)中包含的点至多的个数及其等价命题,V(I)中包含的点的个数与商环K[x1,x2,…,xn]/I(V)及K[x1,x2,…,xn]/槡I作为K上的向量空间时的维数之间的关系.If K is a field and I is a zero dimensional ideal in the polynomial ring K[ x1 ,x2 , .., xn] , the number of poims is studied on the affine variety of V（I） in I at most and its equivalem conditions. The relation is studied between the number of points of V（I） and the dimension of quotient ring K[ x1 ,x2 ..., xn ]/I（V） and the dimension of quotient ring K[ x1 ,x2 ,..., xn ]/I where the dimension means dimension as a vector space over K.

关 键 词：零维理想 仿射代数簇 商环 

分 类 号：O153.3[理学—数学]