| 拟polar环的注记（英文） |
| |
| 引用本文： | 崔建,陈建龙. 拟polar环的注记（英文）[J]. 数学研究, 2012, 45(2): 167-174 |
| |
| 作者姓名： | 崔建 陈建龙 |
| |
| 作者单位： | 1. 东南大学数学系,江苏南京210096／安徽师范大学数学系,安徽芜湖241000
2. 东南大学数学系,江苏南京,210096 |
| |
| 基金项目： | supported by Foundation item:the NSF of China(10971024);the Specialized Research Fund for the Doctoral Program of Higher Education(200802860024) |
| |
| 摘 要： | 称一个环R中的元素a是拟polar元,若存在p2=P∈R满足p∈comm_R~2（a）,a＋P∈U（R）并且ap∈R~（qnil）;且称环R是拟polar的如果R中每一个元素都是拟polar元.本文证明了,任一环R中强π-正则元是拟polar的,而拟polar元是强clean的.拟polar环的一些扩张性质也作了探讨.
|
| 关 键 词： | 拟polar环 强clean环 强π-正则环 谱幂等元 |
Notes on Quasipolar Rings |
| |
| Cui Jian,Chen Jianlong. Notes on Quasipolar Rings[J]. Journal of Mathematical Study, 2012, 45(2): 167-174 |
| |
| Authors: | Cui Jian Chen Jianlong |
| |
| Affiliation: | 1 (1.Department of Mathematics,Southeast University,Nanjing Jiangsu 210096; 2.Department of Mathematics,Anhui Normal University.Wuhu Anhui 241000) |
| |
| Abstract: | Abstract An element a in a ring R is called quasipolar if there exists p2= p∈R such that p∈commR2（a）,a + p∈U（R） and ap∈Rqnil;and a ring R is said to be quasipolax in case every element of R is quasipolax.In this note,we prove that any strongly 7r-regular element in a ring R is quasipolar,and any quasipolar element in R is strongly clean.Several extension properties of quasipolar rings are also investigated. |
| |
| Keywords: | Quasipolar ring Strongly clean ring Strongly π-regular ring Spectral idempotent |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
