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有限域上矩阵的几个恒等式
引用本文:郑玉美.有限域上矩阵的几个恒等式[J].湖北大学学报(自然科学版),1988(3).
作者姓名:郑玉美
作者单位:湖北大学数学系
摘    要:Procesi问题至今未决(见1]),研究有限特征的域上的矩阵的恒等式有助于这个问题的解决,本文研究有限域上矩阵的恒等式,给出了M_2(F),M_3(F)的几个恒等式,这里F=GF(p~m)。

关 键 词:矩阵的迹  矩阵的恒等式

SOME IDENTITIES OF MATRICES OVER FINITE FIELDS
Zheng yumei.SOME IDENTITIES OF MATRICES OVER FINITE FIELDS[J].Journal of Hubei University(Natural Science Edition),1988(3).
Authors:Zheng yumei
Institution:Department of Mathematics
Abstract:Up to now, Procesi's problem is open still it has not been yet (See1]) . Studying identities of matrices over Fields with finite characteristic may help us in solving Procesi's problem finaly. In this paper we researcned identities of matrices over finite fields and gave identities of M2(F) and M3(F), where F = GF(pm).
Keywords:Trace of a matrix  Identities of matrices  
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