| Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring |
| Received:January 19, 2009 Revised:May 22, 2009 |
| Key Words:
Jordan derivation Lie triple derivation upper triangular matrices.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10771027). |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.03.005 |
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