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