三角代数的全可导点

All-derivable Points of Triangular Algebras

设u=Tri(A,M,B)为三角代数.如果每一个在点G可导的线性映射是个导子,则称点G是U的全可导点.本文证明了P1=(1A 0 0),P2=(0 0 1B)是三角代数u的全可导点.

Let U = Tri（A, M, B） be a triangular algebra. We call that an element G is an all - derivable point of U if every derivable linear mapping Ф at G is a derivation. In this paper, it is proved that P1 =（0 1A 0） and P2=（1R 0 0） are all - derivable points of triangular algebra.