| 交换环上上三角矩阵的李三导子 |
| |
| 引用本文： | 李海玲,王颖.交换环上上三角矩阵的李三导子[J].数学研究与评论,2010,30(3):415-422. |
| |
| 作者姓名： | 李海玲 王颖 |
| |
| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024 |
| |
| 基金项目： | 国家自然科学基金(Grant No.10771027). |
| |
| 摘 要： | Let T(n,R) be the Lie algebra consisting of all n × n upper triangular matrices over a commutative ring R with identity 1 and M be a 2-torsion free unital T(n,R)-bimodule.In this paper,we prove that every Lie triple derivation d : T(n,R) → M is the sum of a Jordan derivation and a central Lie triple derivation.
|
| 关 键 词： | Jordan derivation Lie triple derivation upper triangular matrices. |
| 收稿时间： | 2009/1/19 0:00:00 |
| 修稿时间： | 2009/5/22 0:00:00 |
Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring |
| |
| Hai Ling LI and Ying WANG.Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring[J].Journal of Mathematical Research and Exposition,2010,30(3):415-422. |
| |
| Authors: | Hai Ling LI and Ying WANG |
| |
| Institution: | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China |
| |
| Abstract: | Let ${\cal T}(n,R)$ be the Lie algebra consisting of all $n\times n$ upper triangular matrices over a commutative ring $R$ with identity $1$ and ${\cal M}$ be a $2$-torsion free unital ${\cal T}(n,R)$-bimodule. In this paper, we prove that every Lie triple derivation $d:{\cal T}(n,R)\rightarrow {\cal M}$ is the sum of a Jordan derivation and a central Lie triple derivation. |
| |
| Keywords: | Jordan derivation Lie triple derivation upper triangular matrices |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究与评论》浏览原始摘要信息 |
| 点击此处可从《数学研究与评论》下载免费的PDF全文 |
