广义矩阵代数上的李导子
On Lie Derivations in Generalized Matrix Algebras

研究了广义矩阵代数上的一类李导子, 证明了广义矩阵代数上李导子可以表示成一个导子和一个中心映射之和, 并将这个结果应用到全矩阵代数上.
This paper deals with a certain Lie derivation in generalized matrix algebras. The author proves that a Lie derivation in generalized matrix algebras is the sum of a derivation and a centralizing mapping. As a consequence, Lie derivations of full matrix algebras are determined.