| 素环左理想上广义导子的复合 |
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| 引用本文： | 马晶,徐晓伟. 素环左理想上广义导子的复合[J]. 吉林大学学报(理学版), 2007, 45(5): 701-706 |
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| 作者姓名： | 马晶 徐晓伟 |
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| 作者单位： | 吉林大学,数学学院,长春,130012;山东大学,数学与系统科学学院,济南,250100;吉林大学,数学学院,长春,130012 |
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| 摘 要： | 利用GPI素环的结构性质以及域上向量空间与其自同态环的关系证明了: 具有特殊形式的两个广义导子的复合可以在素环的非零左理想上起广义导子作用, 并对这几种特殊形式的广义导子给出了完整的描述, 从而给出了广义导子的复合在素环的非零左理想上起广义导子作用的充分必要条件.
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| 关 键 词： | 素环 广义导子 复合 |
| 文章编号： | 1671-5489（2007）05-0701-06 |
| 收稿时间： | 2007-01-09 |
| 修稿时间： | 2007-01-09 |
Composition of Generalized Derivations in =Left Ideals of Prime Rings |
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| MA Jing,XU Xiao-wei. Composition of Generalized Derivations in =Left Ideals of Prime Rings[J]. Journal of Jilin University: Sci Ed, 2007, 45(5): 701-706 |
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| Authors: | MA Jing XU Xiao-wei |
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| Affiliation: | 1. College of Mathematics, Jilin University, Changchun 130012, China;2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, China |
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| Abstract: | Using structure properties of prime rings endmorphism rings, we showed that it is posible that forms may act like generalized derivation on the left satisfying GPI and the relation of vector spaces and their the composition of two generalized derivations with special ideals of prime rings. And we got an equivalent condition for generalized derivations to have this property. |
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| Keywords: | prime ring generalized derivation composition |
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