Lie higher derivations on triangular algebras revisited
Lie higher derivations on triangular algebras revisited
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DOI：
10.2298/fil1612187m
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发表时间：
2016-12
期刊：
影响因子：
0.8
通讯作者：
Fahimeh Moafian;H. R. E. Vishki
中科院分区：
文献类型：
--
作者：
Fahimeh Moafian;H. R. E. Vishki
受到 W.-S. 大量作品的启发。 Cheung [线性多重线性代数, 51 (2003), 299-310]，我们明确地提出了三角代数上的李高阶导数的结构。然后我们研究三角代数李高阶导数合适的条件。我们的方法为有关三角代数李高阶导数正确性的一些已知结果提供了直接证明。
Motivated by the extensive works of W.-S. Cheung [Linear Multilinear Algebra, 51 (2003), 299-310], we present the structure of Lie higher derivations on a triangular algebra explicitly. We then study those conditions under which a Lie higher derivation on a triangular algebra is proper. Our approach provides a direct proof for some known results concerning to the properness of Lie higher derivations on triangular algebras.