n×n矩阵环的多项式恒等式

On a polynomial identity for n×n matrices

基于泛矩阵代数的理论和矩阵环的楼梯方法,用交错或对称的多项式构造Mn(C)的恒等式和中心恒等式,这些结果是Formanek关于Mn(Z)的恒等式和中心恒等式的推广.

In this paper,some identities and central identities for Mn(C) were obtained from alternating or symetric polynomials.They were based on some theories for generic matrix and methods for staircase of matrix units.Formanek's identities and central identities on Mn(Z) were extened.