零维理想的仿射代数簇 |
| |
引用本文: | 何苗,尹久元. 零维理想的仿射代数簇[J]. 达县师范高等专科学校学报, 2011, 0(5): 15-18 |
| |
作者姓名: | 何苗 尹久元 |
| |
作者单位: | 电子科技大学应用数学学院,四川成都611731 |
| |
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,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]/√I作为K上的向量空间时的维数之间的关系.
|
关 键 词: | 零维理想 仿射代数簇 商环 |
On Affine Varieties of Zero Dimensional Ideals |
| |
Affiliation: | HE Miao,YIN Jiu - yuan (Applied Mathematics College of Electronic and Technology University, Chengdu Sichuan 611731, China) |
| |
Abstract: | 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. |
| |
Keywords: | zero dimensional ideal atone variety quotient ring |
本文献已被 维普 等数据库收录! |
|