|
| 摘要: |
| 令R是有单位元1的2-挠自由交换环, Ln(R)是由R上所有n×n反对称矩阵构成的李代数.
本文利用Ln(R)作为李代数的完备性和矩阵计算技巧,
证明了Ln(R)的每个局部导子和2-局部导子都是导子. |
| 关键词: 导子 局部导子 2-局部导子 反对称矩阵李代数 |
| DOI： |
| 分类号:O152.5 |
| 基金项目: |
|
| LOCAL DERIVATIONS AND 2-LOCAL DERIVATIONS ON THE LIE ALGEBRA OF ANTISYMMETRIC MATRICES OVER A COMMUTATIVE RING |
|
wangdi
|
| Abstract: |
| Let R be a 2-torsion free commutative ring with identity 1 and
Ln(R) a Lie algebra consisting of all n×n antisymmetric matrices over
R. By using that Ln(R) is a complete Lie algebra and the
skill of matrix computation, the paper proves that every local derivation and every 2-local derivation of Ln(R) are derivations. |
| Key words: derivation local derivation 2-local derivation Lie algebra of antisymmetric matrices |
