可换环上矩阵代数的三重导子  

Triple Derivations of the Matrices Algebra over A Commutative Ring

作　　者：孔祥源[1] 李娜娜[1] 周丽丽[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《贵州大学学报（自然科学版）》2011年第1期14-16,34,共4页Journal of Guizhou University:Natural Sciences

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。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.

关 键 词：全矩阵代数 导子 三重导子 可换环 

分 类 号：O153.3[理学—数学]