| McCoy环的Ore扩张(英文) |
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| 引用本文： | 欧阳伦群,陈焕银.McCoy环的Ore扩张(英文)[J].数学进展,2010(3). |
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| 作者姓名： | 欧阳伦群 陈焕银 |
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| 作者单位： | 湖南科技大学数学与计算科学学院;湖南师范大学数学与计算科学学院; |
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| 基金项目： | supported by Scientific Research Fund of Hunan Provincial Education Department (No.07c268); Hunan Province Natural Science Foundation of China(No.06jj20053); Scientific Research Fund of Hunan Province Education Department(No.06A017) |
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| 摘 要： | 本文研究了斜多项式环与微分多项式环的McCoy性质,证明了如果环R是α-compatible和可逆的,那么斜多项式Rx;α]是McCoy环当且仅当环R是McCoy环;同时我们也证明了如果环R是δ-compatible与可逆的,那么微分多项式环Rx;δ]是McCoy环当且仅当环R是McCoy环.因此本文对McCoy环的相关结论进行了推广.
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| 关 键 词： | McCoy环 可逆环 多项式扩张 |
Ore Extensions of McCoy Rings |
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| OUYANG Lunqun,CHEN Huanyin.Ore Extensions of McCoy Rings[J].Advances in Mathematics,2010(3). |
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| Authors: | OUYANG Lunqun CHEN Huanyin |
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| Institution: | OUYANG Lunqun~(1,2,*),CHEN Huanyin~2 (1.Department of Mathematics,Hunan Science and Technology University,Xiangtan,Hunan,411201,P.R.China,2.Department of Mathematics,Hunan Normal University,Changsha,410006,P.R.China) |
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| Abstract: | |
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| Keywords: | McCoy ring reversible ring polynomial extension |
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