| 可换环上上三角矩阵李代数的括积零导子 |
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| 引用本文： | 周丽丽.可换环上上三角矩阵李代数的括积零导子[J].滨州学院学报,2015(4):68-72. |
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| 作者姓名： | 周丽丽 |
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| 作者单位： | 晋中学院 数学系,山西 晋中,030600 |
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| 摘 要： | 为进一步研究导子,给出了括积零导子,并利用其在矩阵基上的作用,将含幺可换环上上三角矩阵李代数的任意一个括积零导子分解为内导子、中心括积零导子和中心导子之和,推广了导子的概念。
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| 关 键 词： | 上三角矩阵李代数 导子 括积零导子 可换环 |
Bracket-zero Derivations of the Lie Algebra of Upper Triangular Matrice over a Commutative Ring |
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| Abstract: | To study the problem of derivations,this paper defines the notion of bracket-zero deriva-tion.On the basis of an algebra,this paper proves that each bracket-zero derivation of the lie algebra of upper triangular matrice can be written as the sum of an inner derivation,a central bracket-zero deriva-tion and a central derivation.The notion of derivations to a more general case is generalized. |
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| Keywords: | upper triangular matrices lie algebra derivation bracket-zero derivation commutative ring |
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