p^n中生成子空间的交与和的基与维数

Base and Dimension of Intersection and Sum of Generated Subspace in p^n

在线性空间的讨论中，有几个重要的子空间：生成子空间，子空间的交与和．对于有限维线性空间，确定它的维数与一组基是一个关键，故而重点讨论在有限维线性空间中，如何来确定生成子空间交与和的基与维数．

There are some important subspaces in linear space. For example, generated subspace, intersection of subspace,sum of subspace. It＇s very important to determine its base and dimension in p^n. This paper is about how to determine the base and dimension of intersection and sum of generated subspace in p^n.