| 交换环上上三角矩阵保对合与保立方幂等的模自同构 |
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| 引用本文： | 唐孝敏,曹重光. 交换环上上三角矩阵保对合与保立方幂等的模自同构[J]. 东北数学, 2003, 19(2): 149-154 |
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| 作者姓名： | 唐孝敏 曹重光 |
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| 作者单位： | Department of Mathematics，Harbin Institute of Technology，Harbin，150001 Department of Mathematics，Heilongjiang University，Harbin，150080，Department of Mathematics，Heilongjiang University，Harbin，150080 |
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| 基金项目： | Foundation item:The NSF(10271021)of China and NSF(10531130)of Heilongjiang Education Committee |
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| 摘 要： | Suppose R is a commutative ring with 1, and 2 is a unit of R. Let Tn(R) be the n × n upper triangular matrix modular over R, and let (?)i(R) (i=2 or 3) be the set of all R-module automorphisms on Tn(R) that preserve involutory or tripotent. The main result in this paper is that f ∈ (?)i(R) if and only if there exists an invertible matrix U ∈ Tn(R) and orthogonal idempotent elements e1,e2,e3 ande4 in R with such that where
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| 关 键 词： | 交换环 三角矩阵 保对合矩阵 保立方幂等矩阵 模自同构 局部化 线性保存问题 |
Modular Automorphisms of Triangular Matrices over Commutative Rings Preserving Involutory and Tripotent |
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| TANG Xiaomin. Modular Automorphisms of Triangular Matrices over Commutative Rings Preserving Involutory and Tripotent[J]. Northeastern Mathematical Journal, 2003, 19(2): 149-154 |
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| Authors: | TANG Xiaomin |
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| Abstract: | |
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| Keywords: | involutory tripotent localization |
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