| Decomposition of Jordan automorphism of two-order upper triangular matrix algebra over certain semilocal rings |
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| 作者姓名： | 王兴涛 |
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| 作者单位： | Dept. of |
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| 摘 要： | LetFbeafieldofcharacteristiczerowithidentity1.LetR=F×F.ThenRisasemilocalring.Lete1=(0,1)ande2=(1,0).Thene1ande2aretheorthog onalidempotentsofR.Wealsodenotetheidentity(1,1)ofRby1andthezero element(0,0)ofRby0.Let T(R)betheR algebraofalluppermatricesoverR.L…
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| 关 键 词： | 二阶上三角矩阵代数 约当自同构 半局部环 环论 |
| 文章编号： | 1005-9113（2006）01-0004-02 |
| 收稿时间： | 2004-07-09 |
Decomposition of Jordan automorphism of two-order upper triangular matrix algebra over certain semilocal rings |
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| WANG Xing-tao.Decomposition of Jordan automorphism of two-order upper triangular matrix algebra over certain semilocal rings[J].Journal of Harbin Institute of Technology,2006,13(1):4-5. |
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| Authors: | WANG Xing-tao |
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| Abstract: | Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R =F × F where F is a field such that CharF = 0. In this paper, we prove that any Jordan automorphism of T(R)can be decomposed into a product of involutive, inner and diagonal automorphisms. |
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| Keywords: | Jordan automorphism upper triangular matrix algebra semilocal ring |
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