| 交换环上上三角矩阵的李三导子 |
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| 引用本文： | 李海玲,王颖. 交换环上上三角矩阵的李三导子[J]. 数学研究及应用, 2010, 30(3): 415-422. DOI: 10.3770/j.issn:1000-341X.2010.03.005 |
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| 作者姓名： | 李海玲 王颖 |
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| 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 |
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| 基金项目： | 国家自然科学基金(Grant No.10771027). |
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| 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.
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| 关 键 词： | Jordan derivation Lie triple derivation upper triangular matrices. |
| 收稿时间： | 2009-01-19 |
| 修稿时间： | 2009-05-22 |
Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring |
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| Hai Ling LI and Ying WANG. Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring[J]. Journal of Mathematical Research with Applications, 2010, 30(3): 415-422. DOI: 10.3770/j.issn:1000-341X.2010.03.005 |
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| Authors: | Hai Ling LI and Ying WANG |
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| Affiliation: | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China |
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| Abstract: | Let ${cal T}(n,R)$ be the Lie algebra consisting of all $ntimes n$ 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. |
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| Keywords: | Jordan derivation Lie triple derivation upper triangular matrices. |
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