| 摘要: |
| 本文研究了严格上三角矩阵李代数的BZ导子.利用BZ导子在其基上的作用,获得了严格上三角矩阵李代数的任意一个BZ导子的具体形式.对导子的概念进行了推广. |
| 关键词: 严格上三角矩阵李代数 导子 BZ导子 可(交)换环 |
| DOI： |
| 分类号:O152.5 |
| 基金项目: |
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| BZ-DERIVATIONS OF THE LIE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES OVER A COMMUTATIVE RING |
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ZHANG Qing-hua,WANG Deng-yin,ZHOU Jin-ming
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ZHANG Qing-hua,WANG Deng-yin,ZHOU Jin-ming (Dept. of Math.,China University of Mining and Technology,Xuzhou 221008,China)
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| Abstract: |
| This article defines the notion of BZ-derivation on Lie algebra over a commutative ring. By using BZ-derivation, we construct several types of standard BZ-derivations and characterize all BZ-derivations of Nn(R). The notion of derivation in a more general case is generalized |
| Key words: strictly upper triangular matrices Lie algebra derivation BZ-derivation commutative ring |
