| 套代数上的广义φ-导子 |
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| 引用本文： | 吴瑞华,吕川. 套代数上的广义φ-导子[J]. 湛江师范学院学报, 2010, 31(6): 8-11,20 |
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| 作者姓名： | 吴瑞华 吕川 |
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| 作者单位： | 中国石油大学数学与计算科学学院,山东东营257061 |
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| 基金项目： | 中国石油大学科研基金资助项目 |
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| 摘 要： | 证明了套代数上的任意范数连续的线性映射如果对任意的A和幂等元E,F满足δ（EAF）=δ（EA）F＋φ（E）δ（AF）-（E）δ（A）F,则δ是一个广义导子.并由此定理得到了一个映射成为广义φ-导子的充分条件.
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| 关 键 词： | 广义φ-导子 局部广义φ-导子 套代数 |
Generalized Skew-derivation of Nest Algebras |
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| WU Ruihua,LU Chuan. Generalized Skew-derivation of Nest Algebras[J]. Journal of Zhanjiang Normal College, 2010, 31(6): 8-11,20 |
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| Authors: | WU Ruihua LU Chuan |
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| Affiliation: | WU Ruihua,LU Chuan(School of Mathematics and Computational Science,China University of Petroleum,Dongying 257061,Shandong Province,China) |
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| Abstract: | In this paper,it is proved that every norm continuous linear mappings on nest algebras with for every element and all idempotents in is a generalized skew-derivation;it is also proved that every generalized local skew-derivation on nest algebras is a generalized skew-derivation. |
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| Keywords: | generalized-derivation generalized local-derivation nest algebra |
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