| 袁 鹤.广义矩阵代数上的李导子[J].数学年刊A辑,2018,39(2):163~172 |
| 广义矩阵代数上的李导子 |
| On Lie Derivations in Generalized Matrix Algebras |
| Received:January 29, 2016 Revised:September 19, 2016 |
| DOI：10.16205/j.cnki.cama.2018.0015 |
| 中文关键词: 广义矩阵代数, 李导子, 三角代数 |
| 英文关键词:Generalized matrix algebra, Lie derivation, Triangular algebra |
| 基金项目:本文受到国家自然科学基金 (No.11471090, No.11171055),
吉林省科技发展计划项目(No.20170 520068JH),
吉林省教育厅``十三五''科学技术研究项目(吉教科合字[2016]第214号)
和吉林师范大学博士科研启动项目(No.2015020) 的资助. |
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| 中文摘要: |
| 研究了广义矩阵代数上的一类李导子,
证明了广义矩阵代数上李导子可以表示成一个导子和一个中心映射之和,
并将这个结果应用到全矩阵代数上. |
| 英文摘要: |
| This paper deals with a certain Lie derivation in generalized matrix algebras.
The author proves that a Lie derivation in generalized matrix algebras is the sum of a derivation
and a centralizing mapping. As a consequence, Lie derivations of full matrix algebras are determined. |
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