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).
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- 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。