可换环上上三角矩阵李代数的局部自同构和局部导子
LOCAL AUTOMORPHISMS AND LOCAL DERIVATIONS OF UPPER TRIANGULAR MATRIX LIE ALGEBRA OVER A COMMUTATIVE RING

本文刻画了Tn(R)上的局部自同构和局部导子.利用关于Tn(R)的自同构和导子的主要结果和矩阵计算技巧,本文证明了Tn(R)上的每一个局部自同构是自同构,每一个局部导子是导子,这推广了文献关于Tn(R)的自同构和导子的主要结果.
The aim of this paper is to characterize the local automorphisms and local derivations of Tn(R). By using the main result about automorphisms and derivations of Tn(R) and the skill of matrix computation, it is proved that every local automorphism of Tn(R) is an automorphism and that each local derivation of Tn(R) is a derivation, which extend the main result about automorphisms and derivations of Tn(R)