| 主理想整环上对称矩阵的非结合代数自同构 |
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| 引用本文： | ABBA Boubacar,唐孝敏.主理想整环上对称矩阵的非结合代数自同构[J].数学杂志,2007,27(1):10-14. |
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| 作者姓名： | ABBA Boubacar 唐孝敏 |
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| 作者单位： | 1. 哈尔滨工业大学数学系,黑龙江哈尔滨 150001
2. 黑龙江大学数学系,黑龙江哈尔滨,150080 |
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| 摘 要： | 本文研究了一类非结合代数的自同构.利用分式化方法,得到主理想整环上对称矩阵构成的非结合代数的所有自同构形式,并刻画了相应的Jordan自同构.
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| 关 键 词： | 非结合代数 自同构 对称矩阵 |
| 文章编号： | 0255-7797（2007）01-0010-05 |
| 修稿时间： | 2004-05-252005-03-25 |
AUTOMORPHISM OF THE NON-ASSOCIATIVE ALGEBRA OF SYMMETRIC MATRICES OVER PID |
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| ABBA Boubacar,TANG Xiao-min.AUTOMORPHISM OF THE NON-ASSOCIATIVE ALGEBRA OF SYMMETRIC MATRICES OVER PID[J].Journal of Mathematics,2007,27(1):10-14. |
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| Authors: | ABBA Boubacar TANG Xiao-min |
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| Institution: | 1. Dept. of Math. , Harbin Institute of Technology, Harbin 150001 ,China;2. Dept. of Math. , Heilongjiang University, Harbin 150080, China |
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| Abstract: | In this paper, we study the automorphism of a type of non-associative algebra. By using the fraction method, we obtain the forms of all automorphisms of the non-associate algebra consisting of symmtric matrices over a PID. The corresponding Jordan automorphisms are also characterized. |
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| Keywords: | PID non-associative algebra automorphism symmetric matrix PID |
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