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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美
- 刻劃了交換整環(huán)R上的n×n上三角矩陣的R-代數?_n(R)的保冪等的線(xiàn)性算子,由此又確定了?_n(R)的保對合的線(xiàn)性算子以及R-代數自同構。