空间分解成循环子空间直和的两个定理的新证明

New Proofs of Two Theorems for Decomposing a Linear Space Into Direct Sum of Invariant Cyclic Subspaces

找到一个新方法,直接由线性空间理论证明:线性空间可以分解成循环子空间的直和.通常这是通过主理想整环上的有限生成模理论证明的.

This paper gives new proofs of two well known results about a linear space been decomposable into the direct sums of invariant cyclic subspaces,using only linear algebra,while the known proofs of those results have to depend on the theory of finitely generated module on a principal ideal domain.