| 环的广义斜导子 |
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| 引用本文： | 成会文,魏丰. 环的广义斜导子[J]. 数学进展, 2006, 35(2): 237-243 |
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| 作者姓名： | 成会文 魏丰 |
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| 作者单位： | 1. 北京市海淀职工大学,北京,100083
2. 北京理工大学应用数学系,北京,100081 |
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| 基金项目： | Foundation item: This work is supported by the Mathematical Tianyuan Research Foundation of China(TY 10426005) the Basic Research Foundation of Beijing Institute of Technology. |
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| 摘 要： | 设R是一个半素环, RF(resp．Q)是它的左Martindale商环(对称Martindale 商环),K是R的一个本质理想,则K上的每一个广义斜导子μ能被唯一地扩展到RF和Q 上．设R是一个素环,K是R的一个本质理想,μ是K上的一个广义斜导子且α为其伴随自同构,d为其伴随斜导子,如果存在n≥0,使得对任意的x∈K都有μ(x)n=0,那么μ=0．
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| 关 键 词： | 广义斜导子 (半-)素环 |
| 文章编号： | 1000-0917（2006）02-0237-07 |
| 收稿时间： | 2004-05-24 |
| 修稿时间： | 2004-05-24 |
Generalized Skew Derivations of Rings |
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| CHENG Hui-wen,WEI Feng. Generalized Skew Derivations of Rings[J]. Advances in Mathematics(China), 2006, 35(2): 237-243 |
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| Authors: | CHENG Hui-wen WEI Feng |
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| Affiliation: | Adults University of Beijing Haidian,Beijing,100083,P.R.China;Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, P. R. China |
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| Abstract: | Let R be a semiprime ring and RF (resp. Q) be its left Martindale quotient ring (resp. symmetric Martindale quotient ring) and K be an essential ideal of R. Then every generalized skew derivationμ on K can be uniquely extended to be a generalized skew derivation of RF and that of Q. Let R be a prime ring, K be an essential ideal of R andμ be a generalized skew derivation on K with the associated automorphism α and the associated skew derivation d. If μ(x)n=0 for all x∈K,where n is a fixed positive integer, thenμ＝0. |
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| Keywords: | generalized skew derivation (semi-)prime ring |
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