纺织高校基础科学学报2016，Vol.29Issue(4)：455-459,5.DOI:10.13338/j.issn.1006-8341.2016.04.007
三角代数上的可导映射对
Pairs of derivable maps on triangular algebras
摘要
Abstract
Let U=Tri(A,M,B) be a triangular algebras with identity,E be a standard bi-model ofU,andδ,τ:A→ dare two maps (without additivity and linear).By using method of algebras decomposition,it is proved that pairs of derivation maps on triangular algebras are additive.That is,if the maps δ,τ satisfies δ(ab)=δ(a)b+aτ(b),for all a,b ∈ U,then δ is additive general derivation,and τ is additive derivation from U to E.As an application,the concrete structure of pairs of derivable maps on nest algebras is given.关键词
三角代数/可导映射对/可加性Key words
triangular algebras/pairs of derivable maos/additivity分类
数理科学引用本文复制引用
魏燕,张建华..三角代数上的可导映射对[J].纺织高校基础科学学报,2016,29(4):455-459,5.基金项目
国家自然科学基金资助项目(11471199) （11471199）
教育部高等学校博士学科点专项科研基金项目(20110202110002) （20110202110002）
