| 关于诣零Armendariz环的一点注记 |
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| 引用本文： | 张万儒.关于诣零Armendariz环的一点注记[J].河西学院学报,2012(5):32-35,31. |
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| 作者姓名： | 张万儒 |
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| 作者单位： | 河西学院数学与统计学院,甘肃张掖734000 |
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| 摘 要： | 设I是环R的理想,并且R/I是诣零Armendariz环.本文给出了环R是诣零Armendariz环的几个充分条件.此外,我们还讨论了环R和Rx]中的弱零化子之间的关系,给出了R是诣零Ar-mendariz环的一些等价条件.
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| 关 键 词： | 诣零Armendariz环 多项式环 幂零 |
A Note On nil-Armendariz Rings |
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| Zhang Wan-ru.A Note On nil-Armendariz Rings[J].Journal of Hexi University,2012(5):32-35,31. |
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| Authors: | Zhang Wan-ru |
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| Institution: | Zhang Wan-ru(College of Mathematics and Statistics, Hexi University, Zhangye,Gansu 734000, China) |
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| Abstract: | LetIbe an ideal of R, and R/Ibe a nil-Armendariz ring, we give some sufficient conditions for R to be a nil-Armendariz ring. Moreover, we investigate the relationship between the weakly annihilators in R and those in R x], and give some equivalent conditions for R to be a nil-Armendariz ring. |
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| Keywords: | Nil-Armendariz ring Polynomial ring Nilpotent |
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