纺织高校基础科学学报2011，Vol.24Issue(1)：50-52,3.
三角代数上的广义高阶Jordan导子
Generalized higher Jordan derivations of triangular algebras
摘要
Abstract
Let F = (fi) i∈ N be a family of additive mappings of po. It is said that F is a generalized higher derivation if there exists a higher derivation D = (di) i∈ N such that fn (ab) = ∑(i+j=n) fi (a) dj (b) for all a, b ∈ (R). It is said that F is a generalized higher Jordan derivation if there exists a higher Jordan derivation D = (di )i∈N such that fn(a2) = ∑(i+j=n)fi(a)dj(a) . It is proved that every generalized higher Jordan derivation of triangular algebras is a generalized higher derivation.关键词
广义高阶Jordan导子/广义高阶导子/三角代数Key words
generalized higher Jordan derivation/ generalized higher derivation/ triangular algebra分类
数理科学引用本文复制引用
李清,张建华..三角代数上的广义高阶Jordan导子[J].纺织高校基础科学学报,2011,24(1):50-52,3.基金项目
国家自然科学基金资助项目(10971123) （10971123）
陕西省自然科学研究计划资助项目(2004A17) （2004A17）
