| N-弱拟Armendariz环 |
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| 引用本文： | 丁婷婷,吴俊,张培雨.N-弱拟Armendariz环[J].数学杂志,2015,35(2):337-344. |
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| 作者姓名： | 丁婷婷 吴俊 张培雨 |
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| 作者单位： | 安徽师范大学数学计算机科学学院 |
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| 基金项目： | 国家自然科学基金资助(10971099) |
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| 摘 要： | 本文研究了N-弱拟Armendariz环的基本性质以及与一些特殊环的关系.利用某些矩阵环的特殊性质,得到了环R是N-弱拟Armendariz环当且仅当环T_n(R)是N-弱拟Armendariz环,推广了弱拟-Armendariz环的相应结果.
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| 关 键 词： | N-弱拟Armendariz环 弱拟-Armendariz环 半素环 nil-半交换环 |
| 收稿时间： | 2012/11/19 0:00:00 |
| 修稿时间： | 2013/1/25 0:00:00 |
N-WEAK QUASI ARMENDARIZ RINGS |
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| DING Ting-ting,WU Jun and ZHANG Pei-yu.N-WEAK QUASI ARMENDARIZ RINGS[J].Journal of Mathematics,2015,35(2):337-344. |
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| Authors: | DING Ting-ting WU Jun and ZHANG Pei-yu |
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| Institution: | DING Ting-ting;WU Jun;ZHANG Pei-yu;School of Mathematics&Computer Science,Anhui Normal University; |
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| Abstract: | In this paper, the basic properties and the relations with some special rings of N-weak quasi Armendariz rings are studied. By using particular properties of some matrix rings, we show that a ring R is a N-weak quasi Armendariz ring if and only if the ring Tn(R) is a N-weak quasi Armendariz ring, which generalizes the corresponding results of weak quasi-Armendariz rings. |
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| Keywords: | N-weak quasi Armendariz rings weak quasi-Armendariz rings semiprime rings nil-semicommutative rings |
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