| 可换环上严格上三角矩阵李代数的BZ导子 |
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| 引用本文： | 张清华,王登银,周津名. 可换环上严格上三角矩阵李代数的BZ导子[J]. 数学杂志, 2011, 31(1) |
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| 作者姓名： | 张清华 王登银 周津名 |
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| 作者单位： | 中国矿业大学数学系,江苏,徐州221008 |
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| 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.
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| 关 键 词： | 严格上三角矩阵李代数 导子 BZ导子 可(交)换环 |
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. BZ-DERIVATIONS OF THE LIE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES OVER A COMMUTATIVE RING[J]. Journal of Mathematics, 2011, 31(1) |
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| Authors: | ZHANG Qing-hua WANG Deng-yin ZHOU Jin-ming |
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| Affiliation: | 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 |
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| Keywords: | strictly upper triangular matrices Lie algebra derivation BZ-derivation commutative ring |
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