| 可换环上一般线性李代数的李三导子 |
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| 引用本文： | 孔祥源,周丽丽,李娜娜.可换环上一般线性李代数的李三导子[J].数学杂志,2012,32(4):663-668. |
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| 作者姓名： | 孔祥源 周丽丽 李娜娜 |
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| 作者单位： | 中国矿业大学理学院数学系,江苏徐州,221008 |
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| 基金项目： | 中央高校基本科研业务费专项资金资助 |
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| 摘 要： | 本文研究了含幺可换环上一般线性李代数的李三导子.通过构造特殊矩阵并利用这些矩阵进行运算,得到了任意含幺可换环上一般线性李代数的任意一个李三导子的具体形式,从而推广了导子的概念.
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| 关 键 词： | 一般线性李代数 导子 李三导子 可换环 |
LIE TRIPLE DERIVATIONS OF GENERAL LINEAR LIE ALGEBRAS OVER A COMMUTATIVE RING |
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| KONG Xiang-yuan
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ZHOU Li-li
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LI Na-na.LIE TRIPLE DERIVATIONS OF GENERAL LINEAR LIE ALGEBRAS OVER A COMMUTATIVE RING[J].Journal of Mathematics,2012,32(4):663-668. |
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| Authors: | KONG Xiang-yuan ZHOU Li-li LI Na-na |
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| Institution: | (Department of Mathematics,School of Science,China University of Mining and Technology,Xuzhou 221008,China) |
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| Abstract: | In this paper,we study the Lie triple derivations of general linear Lie algebras over commutative rings.By constructing some special matrices and calculating,we obtain the forms of all Lie triple derivations of the general linear Lie algebras over an arbitrary commutative rings with identity,which Generalize the notion of derivations to a more general case. |
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| Keywords: | general linear Lie algebra derivation Lie triple derivation commutative ring |
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