| 环上可加左导子的刻画 |
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| 引用本文： | 齐霄霏,巩琳.环上可加左导子的刻画[J].数学学报,2015,58(6):1021-1034. |
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| 作者姓名： | 齐霄霏 巩琳 |
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| 作者单位： | 山西大学数学科学学院 太原 030006 |
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| 基金项目： | 国家自然科学基金资助项目(11171249);山西省高等学校优秀青年学术带头人支持计划 |
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| 摘 要： | 令A与B是含单位元的环,M是(A,B)-双模,U=Tri(A,M,B)是三角环.在一些附加假设条件下,本文从几个不同的角度给出了U上可加左导子的结构性质.此外,也得到了满足一定条件的环上可加左导子的两个不同刻画.
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| 关 键 词： | 三角环 素环 左导子 Jordan左导子 |
Characterizing Additive Left Derivations on Rings |
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| Xiao Fei QI,Lin GONG.Characterizing Additive Left Derivations on Rings[J].Acta Mathematica Sinica,2015,58(6):1021-1034. |
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| Authors: | Xiao Fei QI Lin GONG |
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| Institution: | Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China |
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| Abstract: | Let A and B be unitial rings, and M be an (A, B)-bimodule. Assume that U = Tri(A, M, B) is a triangular ring. Under some mild conditions, the structure of additive left derivations on U is given from different points of view. Also, two different characterizations of additive left derivations on rings with some conditions are obtained. |
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| Keywords: | Triangular rings prime rings left derivations Jordan left derivations |
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