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| 摘要: |
| 本文研究了α-诣零Armendariz 环的性质. 利用环R 上的斜多项式环, 得到了α-诣零Armendariz 环的例子并研究了它的扩张, 推广了文献[4] 中关于诣零Armendariz 环的相应的结论. |
| 关键词: α-诣零Armendariz环 斜多项式环 幂零元 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:河西学院青年教师科研基金项目(QN2012-14) |
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| ON SKEW NIL-ARMENDARIZ RINGS |
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ZHANG Wan-ru
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| Abstract: |
| In this paper, we investigate the properties of the α-nil-Armendariz rings. By using the skew polynomial ring over R, the examples of α-nil-Armendariz rings are obtained, and the extensions of α-nil-Armendariz rings are investigated, which generalizes the corresponding results of nil-Armendariz rings in [4]. |
| Key words: α-nil-Armendariz rings skew polynomial ring nilpotent elements |
