模分拆的一些性质

Some Properties Concerning Partition of Module

本文把有限域上n(>1)维向量空间能分为有限个真子空间的并的性质,推广到环模上去。

We know that an n (>1)dimisional vector space over a finite field can be decomposed into the union of a finite number of proper subspaces.Then can an n-rank free module be decomposed into the union of a finite number of proper submodules■It's complex, in a general way. In this paper, we discuss some properties of module basing on the papers[1], [2], [3].