中文摘要：

设R是有单位元的交换环,A,B都是R上的酉代数,M是非零（A,B）-酉双模,且作为左A-模和右B-模都是忠实的.记T=（A M0B）为由A,B,M构成的三角代数,D为T的导子.给出T满足[D（X）,D（Y）]=0的导子的结构,并证明了三角代数T的导子都不是强保交换的.

英文摘要：

Let R be a commutative ring with identity,A,B be unital algebras over Rand M be a nonzero unital（A,B）-bimodule,which is faithful as a left A-module and also as a right B-module.Let T=（A M0B）be a triangular algebra,and D be a derivation of T.We described the structure of derivation D which satisfies[D（X）,D（Y）]=0.We also proved that derivations on a triangular algebra T will not be strong commutativity-preserving.