| 幺半群环的弱p.p.性质 |
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| 引用本文： | 赵仁育.幺半群环的弱p.p.性质[J].兰州理工大学学报,2007,33(3):150-151. |
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| 作者姓名： | 赵仁育 |
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| 作者单位： | 西北师范大学,经济管理学院,甘肃,兰州,730070 |
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| 摘 要： | 设R是环,G是幺半群.证明:(1)如果R是abelian环,G是u.p.-幺半群,则幺半群环RG]是弱p.p.-环当且仅当R是弱p.p.-环;(2)如果G是非周期的幺半群,R是G-Armendariz环,则幺半群环RG]是弱p.p.-环当且仅当R是弱p.p.-环.
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| 关 键 词： | 弱p.p.-环 u.p.-幺半群 G-Armendariz环 |
| 文章编号： | 1673-5196（2007）03-0150-02 |
| 修稿时间： | 2006-03-06 |
Weakly p. p. property of monoid rings |
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| ZHAO Ren-yu.Weakly p. p. property of monoid rings[J].Journal of Lanzhou University of Technology,2007,33(3):150-151. |
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| Authors: | ZHAO Ren-yu |
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| Institution: | College of Economic and Management, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | Let R be a ring and G a monoid.It was proved that(1) when R was an abelian ring and G a u.p.-monoid,then RG] would be a weakly p.p.-ring if and only if R was a weakly p.p.-ring,and(2) when G was an aperiodic monoid and R a G-Armendariz ring,the RG] would be a weakly p.p.-ring if and only if R was a weakly p.p.-ring. |
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| Keywords: | weakly p p -ring u p -monoid G-Armendariz ring |
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