上三角矩阵代数上的~Jordan~全可导点

摘要 Zhao~和~Zhu~证明了如下结果：复数域上的任意上三角矩阵代数中的每一矩阵都是~Jordan~全可导点.本文将证明：特征不为~2~的无限域上的任意上三角矩阵代数中的每一矩阵都是~Jordan~全可导点.
Abstract：Zhao and Zhu proved the following result: Every matrix in upper triangular matrix algebras over the complex number field is a Jordan all-derivable point. The aim of this paper is to show that every matrix in upper triangular matrix algebras over an infinite field of characteristic not 2 is a Jordan all-derivable point.