| 套代数上的非线性三元Lie导子 |
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| 引用本文： | 陈剑慧,纪培胜,姜华.套代数上的非线性三元Lie导子[J].青岛大学学报(自然科学版),2011(3):9-13. |
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| 作者姓名： | 陈剑慧 纪培胜 姜华 |
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| 作者单位： | 青岛大学数学科学学院; |
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| 基金项目： | 国家自然科学基金(10971117) |
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| 摘 要： | 证明了套代数上的每个非线性的三元Lie导子，是一个可加导子与一个到其中心上的映射的和，而该映射将三元积映成0。
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| 关 键 词： | 套代数 三元Lie导子 可加导子 |
Nonliner Triple Lie Derivations on Nest Algebras |
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| CHEN Jian-hui,JI Pei-sheng,JINAG Hua.Nonliner Triple Lie Derivations on Nest Algebras[J].Journal of Qingdao University(Natural Science Edition),2011(3):9-13. |
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| Authors: | CHEN Jian-hui JI Pei-sheng JINAG Hua |
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| Institution: | CHEN Jian-hui,JI Pei-sheng,JINAG Hua(College of Mathematics,Qingdao University,Qingdao 266071,China) |
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| Abstract: | Let A be a associative algebra and define Lie product =ab-ba for a,b∈A.A nonlinear map : A→A is called a nonliner Lie triple derivation,if it satisfys (,c])=(a),b],c]+a,(b)],c]+,(c)].Let H be a Hilbert space,and N be a nest on H,with N≠{{0},H}.Let :T(N)→T(N) be a nonlinear Lie triple derivation on T(N),then (x)=d(x)+τ(x)I for x∈T(N),where d is an additive derivation of T(N) and τ:T(N)→F vanishing at Lie triple products ,c]. |
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| Keywords: | nest algebra Lie triple derivation additive derivation |
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