| 可换环上矩阵代数的三重导子 |
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| 引用本文： | 孔祥源,李娜娜,周丽丽. 可换环上矩阵代数的三重导子[J]. 贵州大学学报(自然科学版), 2011, 28(1): 14-16,34 |
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| 作者姓名： | 孔祥源 李娜娜 周丽丽 |
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| 作者单位： | 中国矿业大学理学院,江苏徐州,221008 |
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| 摘 要： | 本文研究了可换环上矩阵代数的三重导子,通过构造特殊矩阵并利用这些矩阵进行运算,得到任意一个三重导子都可以分解为内导子和倍乘映射之和,从而决定了含幺可换环上矩阵代数的所有三重导子,进而推广了导子的概念.
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| 关 键 词： | 全矩阵代数 导子 三重导子 可换环 |
Triple Derivations of the Matrices Algebra over A Commutative Ring |
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| KONG Xiang-yuan,LI Na-na,ZHOU Li-Ii. Triple Derivations of the Matrices Algebra over A Commutative Ring[J]. Journal of Guizhou University(Natural Science), 2011, 28(1): 14-16,34 |
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| Authors: | KONG Xiang-yuan LI Na-na ZHOU Li-Ii |
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| Affiliation: | (College of Science,China University of Mining and Technology,Xuzhou 221008,China) |
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| Abstract: | The triple derivations of the matrices algebras over commutative rings were studied.By constructing some special matrices and calculating,the forms of all triple derivations can be written as the sum of a inner derivation and a timing product map.This paper characterizes all triple derivations of the matrices algebras over an arbitrary commutative rings with identity ang generalizes the notion of derivations to a more general case. |
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| Keywords: | full matrices algebra derivation triple derivation commutative ring |
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