| 交换环上上三角矩阵的乘法自同构（英文） |
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| 引用本文： | 偶世坤,张师贤.交换环上上三角矩阵的乘法自同构（英文）[J].南京大学学报(自然科学版),2011(2):168-175. |
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| 作者姓名： | 偶世坤 张师贤 |
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| 作者单位： | 江西理工大学理学院,赣州341000 |
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| 基金项目： | Supported by the Youth Foundation of Jiangxi Provincial Education Department （G J J10155） and the Science Foundation of Jiangxi University of Science and Technology （No. jxxj11063）. |
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| 摘 要： | 设R是有单位无的交换环,并且2在R中可逆.记T_n（R）是由R上所有的n×n上三角矩阵组成的乘法半群.本文将决定T_n（R）上的所有乘法自同构.
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| 关 键 词： | 半群 自同构 上三角矩阵 交换环 |
MULTIPLICATIVE SEMIGROUP AUTOMORPHISMS OF UPPER TRIANGULAR MATRICES OVER COMMUTATIVE RINGS |
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| Ou Shikun and Zhang Shixian.MULTIPLICATIVE SEMIGROUP AUTOMORPHISMS OF UPPER TRIANGULAR MATRICES OVER COMMUTATIVE RINGS[J].Journal of Nanjing University: Nat Sci Ed,2011(2):168-175. |
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| Authors: | Ou Shikun and Zhang Shixian |
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| Institution: | Ou Shikun and Zhang Shixian (Faculty of Science, Jiangxi University of Science and Technology, Ganzhou, 341000 PRC) |
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| Abstract: | Let R be a commutative ring with identity and unit 2. Denote by Tn（R） the multiplicative semigroup consisting of all n× n upper triangular matrices over R. In this note, all multiplicative semigroup automorphisms of Tn（R） are determined. |
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| Keywords: | Semigroups automorphisms upper triangular matrices commutativerings |
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