| 三角矩阵上的Hochschild 2-循环广义若当导子 |
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| 引用本文： | 李建奎,沈其骅.三角矩阵上的Hochschild 2-循环广义若当导子[J].数学研究及应用,2012,32(4):469-475. |
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| 作者姓名： | 李建奎 沈其骅 |
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| 作者单位： | 华东理工大学数学系, 上海 200237;华东理工大学数学系, 上海 200237 |
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| 基金项目： | 国家自然科学基金(Grant No.10871032). |
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| 摘 要： | In this paper,we prove that every generalized Jordan derivation associate with a Hochschild 2-cocycle from the algebra of upper triangular matrices to its bimodule is the sum of a generalized derivation and an antiderivation.
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| 关 键 词： | generalized Jordan derivation generalized derivation Hochschild 2-cocycle. |
| 收稿时间： | 2010/11/10 0:00:00 |
| 修稿时间： | 2011/4/18 0:00:00 |
Generalized Jordan Derivations Associate with Hochschild 2-Cocycles on Triangular Matrices |
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| Jiankui LI and Qihua SHEN.Generalized Jordan Derivations Associate with Hochschild 2-Cocycles on Triangular Matrices[J].Journal of Mathematical Research with Applications,2012,32(4):469-475. |
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| Authors: | Jiankui LI and Qihua SHEN |
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| Institution: | Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P. R. China;Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P. R. China |
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| Abstract: | In this paper, we prove that every generalized Jordan derivation associate with a Hochschild 2-cocycle from the algebra of upper triangular matrices to its bimodule is the sum of a generalized derivation and an antiderivation. |
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| Keywords: | generalized Jordan derivation generalized derivation Hochschild 2-cocycle |
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