三角代数上广义双导子的等价刻画

设U=Tri(A,M,B)是三角代数，双线性映射#是U上的广义双导子。本文利用算子论的方法讨论了三角代数上的广义双导子的相关性质，并在此基础上给出了三角代数上广义双导子的一种新的刻画。

Generalized Biderivation Of Triangular Algebra

Let U=Tri(A,M,B) be a triangular algebra. A bilinear map # is called a generalized biderivation if it is a generalized derivation with repect to both arguments. In this paper, by using of operator theory methods, we provide the relational characterizations of every generalized biderivation on triangular algebra U. On this basis, We obtained a new form of generalized biderivation. Generalizes the notion of generalized biderivation to a more general case.