张显. 交换整环上的上三角矩阵的保幂等的线性算子[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1993, (2).DOI:
交换整环上的上三角矩阵的保幂等的线性算子
摘要
刻划了交换整环R上的n×n上三角矩阵的R-代数n(R)的保幂等的线性算子
由此又确定了n(R)的保对合的线性算子以及R-代数自同构。
Abstract
In this paper we characterize idempotent preserving linear operators of upper triangular matrix R-algebra n(R)over commutative integral domain R. We also determine involution preserving linear operators of n(R) and R -algebra antomorphisms of n(R).