| 全矩阵代数上保Jacobi恒等式的线性映射 |
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| 引用本文： | 吴校贵,张建华.全矩阵代数上保Jacobi恒等式的线性映射[J].山东大学学报(理学版),2009,44(1):49-52. |
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| 作者姓名： | 吴校贵 张建华 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西,西安,710062
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| 基金项目： | 国家自然科学基金，陕西省自然科学基金 |
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| 摘 要： | 设R是一个含单位元的可交换2 无挠素环, 且Mn(R)表示R上的n×n阶全矩阵代数。引入了保Jacobi恒等式的映射的概念, 并对Mn(R)(n≥4)上保Jacobi恒等式的线性映射的形式进行了考虑,得到了具体的刻画形式。
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| 关 键 词： | 矩阵 Jacobi恒等式 线性保持 |
| 收稿时间： | 2008-09-12 |
Linear maps preserving Jacobi identity on the full matrix algebras |
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| WU Xiao-gui,ZHANG Jian-hua.Linear maps preserving Jacobi identity on the full matrix algebras[J].Journal of Shandong University,2009,44(1):49-52. |
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| Authors: | WU Xiao-gui ZHANG Jian-hua |
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| Institution: | College of Mathematics and Information Science;Shaanxi Normal University;Xi'an 710062;Shaanxi;China |
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| Abstract: | Let R be a 2 torsion free commutative prime ring with a unity, and Mn(R)(n≥4) be the algebra consisting of all n×n matrices over R. First, the definition of maps preserving Jacobi identity was given, and then their properties were investigated. The main purpose of this paper is to present a concrete form of such kind of maps. |
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| Keywords: | matrix Jacobi identity linear preserver |
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