关于“方阵中心化子的几个性质”的注记

A NOTE“SOME DRODERTIES FOR THE CENTRALIZER OF A SOUARE MATRIX”

本文首先举出反例指出了[1]定理2中关于幂零矩阵的结论不正确，然后证明了矩阵A的中心化子是交换环当且仅当A的特征多项式fA（x）等于A的最小多项式mA（x）。

This pater frist points out a mistak on the centralizer of nilpotent matrix in [1], then it proves that fA (x) = mA (x) iff the centralizer of matrix A is commutative ring.where fA (x) and mA (x) are the characteristic polymomial and least polynomial of A,respectively.