n×n矩阵环的多项式恒等式  

On a polynomial identity for n×n matrices

作　　者：游松发[1] 赵红艳[1] 

机构地区：[1]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2012年第2期212-214,共3页Journal of Hubei University：Natural Science

摘　　要：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.

关 键 词：泛矩阵 楼梯 对称多项式 中心恒等式 

分 类 号：O153.3[理学—数学]