【摘要】 设A是一个含单位元I的代数,M表示A的又模,若δ是A到M的线性映射,且a,b∈A,都有(δab)=(δb)a+bδ(a)-bδ(I)a,则称δ是广义反导子.证明了当m≥n时,从上三角矩阵代数Tn到其双模Mm上不存在真的广义反导子.更多还原

【Abstract】 Let A be an algebra with identity I,and let M denote bimodule of A.A linear map δ: A→M is called generalization antiderivation if δ(ab) =δ(b)a+bδ(a)-bδ(I) a,for all a,b ∈A.In this paper,it is shown that if m ≥n,then there is no proper generalized antiderivation from upper triangular algebra Tn into its bimodule Mm.更多还原