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-  2015 

N-弱拟Armendariz环
N-WEAK QUASI ARMENDARIZ RINGS

Keywords: N-弱拟Armendariz环 弱拟-Armendariz环 半素环 nil-半交换环
N-weak quasi Armendariz rings weak quasi-Armendariz rings semiprime rings nil-semicommutative rings

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Abstract:

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Tn(R)是N-弱拟Armendariz环,推广了弱拟-Armendariz环的相应结果.
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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