交换主理想整环上立方幂等矩阵的线性保持

摘要

Let R be a commutative principal ideal domain of characteristic ≠2 and R≠F3,and let Mn(R) be the n×n matrix module over R.We determine the forms of R-linear maps,from Mn(R) to Mm(R),which preserve tripotent matrices when n≥m,thereby extending one of Chan and Lim's result (see [1,Th3]).%设R(≠F3)是特征不为2的交换主理想整环,Mn(R) 定义R上的n×n矩阵模,本文刻划当n≥m时从Mn(R)到Mn(R)的保持立方幂等矩阵的线性映射的形式,由此推广了Chan和Lim的一个结果([1,定理3]).