吉林大学学报（理学版）2016，Vol.54Issue(2)：189-196,8.DOI:10.13413/j.cnki.jdxblxb.2016.02.07
三角代数上的 Lie 可导映射对
Pairs of Lie Derivable Maps on Triangular Algebras
摘要
Abstract
Let U=Tri(A,M,B)be a triangular algebras,andδ,τ:U→ U are two maps (without the additivity or linearity assumption).With the help of decomposing matrix,it was proved that ifδ([a ,b])=[δ(a),b]+[a ,τ(b)]for all a ,b ∈U,thenτ=σ+L,δ=θ+f ,whereσ:U→U is an additive derivation;L:U→Z (U )is a modulo additive central-value map;θ:U→ U is an additive general derivation relating toσ,f :U→Z (U )is a central-value map,and f ([a ,b])=0.关键词
三角代数/导子/广义导子Key words
triangular algebras/derivation/general derivaton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 Lie 可导映射对[J].吉林大学学报（理学版）,2016,54(2):189-196,8.基金项目
国家自然科学基金(批准号:11471199)和教育部高等学校博士学科点专项科研基金(批准号:20110202110002) （批准号:11471199）
