| 强双三角子空间格代数上的$\phi$-导子 |
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| 引用本文： | 庞永锋,杨威,杜鸿科.强双三角子空间格代数上的$\phi$-导子[J].数学研究及应用,2011,31(4):721-726. |
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| 作者姓名： | 庞永锋 杨威 杜鸿科 |
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| 作者单位： | 西安建筑科技大学理学院数学系, 陕西 西安 710055;西安建筑科技大学理学院数学系, 陕西 西安 710055;陕西师范大学数学与信息科学学院, 陕西 西安 710062 |
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| 基金项目： | 国家自然科学基金(Grant No.10871224),陕西省自然科学基金青年项目(Grant No.2101JQ1003),陕西省教育厅自然科学专项基金(Grant No.08JK344),西安建筑科技大学校基础研究基金(Grant No.JC1009). |
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| 摘 要： | Let D= {{0},/4, L, M, X} be a strongly double triangle subspace lattice on a nonzero complex reflexive Banach space X, which satisfies that one of three sums K ＋ L, L＋M and M ＋ K is closed. It is shown that local C-derivations and C-derivations at zero point on Alg：D are generalized Ф-derivations.
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| 关 键 词： | generalized C-derivations local C-derivations C-derivations at zero point strongly double triangle subspace lattice. |
| 收稿时间： | 2009/12/21 0:00:00 |
| 修稿时间： | 2010/10/3 0:00:00 |
$\phi$-Derivations on Strongly Double Triangle Subspace Lattice Algebras |
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| Yong Feng PANG,Wei YANG and Hong Ke DU.$\phi$-Derivations on Strongly Double Triangle Subspace Lattice Algebras[J].Journal of Mathematical Research with Applications,2011,31(4):721-726. |
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| Authors: | Yong Feng PANG Wei YANG and Hong Ke DU |
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| Institution: | Department of Mathematics, School of Science, Xi'an University of Architecture and Technology, Shaanxi 710055, P. R. China;Department of Mathematics, School of Science, Xi'an University of Architecture and Technology, Shaanxi 710055, P. R. China;College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China |
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| Abstract: | Let ${\cal D}=\{\{0\}, K,L,M,\cal{X}\}$ be a strongly double triangle subspace lattice on a non-zero complex reflexive Banach space $\cal{X}$, which satisfies that one of three sums $K+L$, $L+M$ and $M+K$ is closed. It is shown that local $\phi$-derivations and $\phi$-derivations at zero point on Alg$\cal D$ are generalized $\phi$-derivations. |
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| Keywords: | generalized $\phi$-derivations local $\phi$-derivations $\phi$-derivations at zero point strongly double triangle subspace lattice |
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