一类线性变换的值域分解

A Decomposition Problem of Range of a Linear Transformation

在一个多项式可分解为多个互素的多项式的基础上,对一类线性变换的值域分解问题进行研究,得到了线性空间中关于这一类线性变换的值域分解定理,进一步阐明了它在线性空间分解中的作用,获得或推广现行相关的结果.

On the basis of a polynomial which can be separated into many relative prime polynomials,the article studies the range decomposition about a kind of linear transformation and obtains in the linear space the decomposition theorem of range about this linear transformation.Its application to linear space decomposition is discussed and some results in the relevant documents are obtained or promoted.