|
| 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Tn(R)是N-弱拟Armendariz环,推广了弱拟-Armendariz环的相应结果. |
| 关键词: N-弱拟Armendariz环 弱拟-Armendariz环 半素环 nil-半交换环 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:国家自然科学基金资助(10971099). |
|
| N-WEAK QUASI ARMENDARIZ RINGS |
|
DING Ting-ting,WU Jun,ZHANG Pei-yu
|
| 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. |
| Key words: N-weak quasi Armendariz rings weak quasi-Armendariz rings semiprime rings nil-semicommutative rings |
