| 关于$\pi$-半交换环 |
| |
| 引用本文： | 陈卫星.关于$\pi$-半交换环[J].数学研究及应用,2016,36(4):423-431. |
| |
| 作者姓名： | 陈卫星 |
| |
| 作者单位： | 山东工商学院数学与信息科学学院，山东 烟台 264005 |
| |
| 基金项目： | 山东省自然科学基金(Grant Nos.ZR2013AL013;ZR2014AL001). |
| |
| 摘 要： | A ring R is said to be π-semicommutative if a, b ∈ R satisfy ab = 0 then there exists a positive integer n such that anRbn= 0. We study the properties of π-semicommutative rings and the relationship between such rings and other related rings. In particular, we answer a question on left GWZI rings negatively.
|
| 关 键 词： | semicommutative rings left GWZI rings π-semicommutative rings |
| 收稿时间： | 2015/8/26 0:00:00 |
| 修稿时间： | 2015/12/3 0:00:00 |
On $\pi$-Semicommutative Rings |
| |
| Weixing CHEN.On $\pi$-Semicommutative Rings[J].Journal of Mathematical Research with Applications,2016,36(4):423-431. |
| |
| Authors: | Weixing CHEN |
| |
| Institution: | School of Mathematics and Information Science, Shandong Institute of Business and Technology, Shandong 264005, P. R. China |
| |
| Abstract: | A ring $R$ is said to be $\pi$-semicommutative if $a,b\in R$ satisfy $ab=0$ then there exists a positive integer $n$ such that $a^nRb^n=0$. We study the properties of $\pi$-semicommutative rings and the relationship between such rings and other related rings. In particular, we answer a question on left GWZI rings negatively. |
| |
| Keywords: | semicommutative rings left GWZI rings $\pi$-semicommutative rings |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
