再谈体上线性映射的子空间的维数及其应用

Dimension and Application Of Linear Map Subspace of Skew Field

[1]中给出了左向量空间的线性映射的某些子空间的维数恒等式,并讨论了它在体上矩阵秩的理论上的应用。本文对这类问题给出了进一步的讨论,并推广了[1]中的一些结论。

paper [1] gave the dimension identity formula of linear map subspace of left vector space and discussed the theory application of matrix rank of skew field. This article deeply studied the problem and generalized some results of [1].