| 可换环上上三角矩阵代数的若当自同构分解(英文) |
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| 引用本文： | 姚瑞平,赵延霞.可换环上上三角矩阵代数的若当自同构分解(英文)[J].大学数学,2009,25(3). |
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| 作者姓名： | 姚瑞平 赵延霞 |
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| 作者单位： | 中国矿业大学,理学院,徐州,221008 |
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| 摘 要： | 设R是含单位元1和可逆元2的可换环,Tn+1(R)表示R上(n+1)×(n+1)级上三角矩阵全体所形成的矩阵代数.本文证明了T(R)的每一个若当自同构都可唯一的分解为图自同构,内自同构和对角自同构的乘积.
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| 关 键 词： | 若当自同构 上三角矩阵代数 可换环 |
Decomposition of Jordan Automorphisms of Upper Triangular Matrix Algebra over Commutative Rings |
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| YAO Rui-ping,ZHAO Yan-xia.Decomposition of Jordan Automorphisms of Upper Triangular Matrix Algebra over Commutative Rings[J].College Mathematics,2009,25(3). |
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| Authors: | YAO Rui-ping ZHAO Yan-xia |
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| Institution: | Department of Mathematics;China University of Mining and Technology;Xuzhou 221008;China |
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| Abstract: | Let R be a commutative ring with identity I and unit 2,Tn+1(R) the algebra of all upper triangular n+1 by n+1 matrices over R.In this article,we prove that any Jordan automorphism of Tn+1(R) can be uniquely written as a product of graph,inner and diagonal automorphisms. |
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| Keywords: | Jordan automorphism triangular matrix algebra commutative rings |
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