一类矩阵的中心化子结构

The Structure Property of the Center of Matrices

对于全部初等因子两两互素的矩阵A ,讨论了A的中心化子C(A)的结构性质 :(1)C(A)是环Pn×n 的交换子环 ,且C(A) =P [A];(2 )C(A)是向量空间Pn×n 的n维子空间 .

The structure property of center of some matrices C(A) is studied. (1) C(A)P n×n is a commutative subring;(2) C(A) is a vector subspace of dimonsion n.