关于n-维矩阵群的注记

A Remark on n-Dimensional Matrix Groups

本文证明了域 F 上的 n 阶2m—维矩阵环 M_(2,n)(F)同构于域 F 上的 n^m 阶全矩阵环F^(n^m×n^m),以及域 F 上的 m-维矩阵空间 M_(m,n)(F)同构于域 F 上的 n^m-维向量空间F^(n^m).

In this paper,we give the following results:1.Any ring of 2m-dimensional matrices order n over a field is isomorphicto a ring of matrices of order n over a field.2.Any space of m--dimensional matrices over a field is isomorphic to avector space of n-dimensional over a field.