可换环上一般线性李代数的李三导子

摘要

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.%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.