Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring 被引量：2

Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring

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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. 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.

作者 Hai Ling LI Ying WANG

机构地区 School of Mathematical Sciences

出处《Journal of Mathematical Research and Exposition》 CSCD 2010年第3期415-422,共8页 数学研究与评论（英文版）

基金 Supported by the National Natural Science Foundation of China (Grant No. 10771027)

关键词 Jordan derivation Lie triple derivation upper triangular matrices. Jordan derivation Lie triple derivation upper triangular matrices.

分类号 O152.5 [理学—基础数学]

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同被引文献21

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Journal of Mathematical Research and Exposition

2010年第3期

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Lie Triple Derivations on Upper Triangular Matrices over a Commutative Ring 被引量：2

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