| 关于Noetherian环上拓扑滤子交换性的一个注记 |
| |
| 引用本文： | 王不了,冯良贵. 关于Noetherian环上拓扑滤子交换性的一个注记[J]. 东北数学, 2006, 22(4): 470-478 |
| |
| 作者姓名： | 王不了 冯良贵 |
| |
| 作者单位： | Department of Mathematics and Systems Science National University of Defense Technology，Changsha，410073，Department of Mathematics and Systems Science，National University of Defense Technology，Changsha，410073 |
| |
| 基金项目： | The authors supported partially by NUDT. |
| |
| 摘 要： | Let R be a ring with identity,and R-fil denote the set of all left topolo-gizing filters on R.In this paper,we give a sufficient condition for the commutativityof R-fil under the hypothesis of left Noetherianness,as well as some examples.
|
| 关 键 词： | 拓扑化滤波器 交换性 Noetherian环 共尾子集 |
A Note on the Commutativity of Topologizing Filters on Noetherian Rings |
| |
| WANG Bu-liao,FENG Liang-gui. A Note on the Commutativity of Topologizing Filters on Noetherian Rings[J]. Northeastern Mathematical Journal, 2006, 22(4): 470-478 |
| |
| Authors: | WANG Bu-liao FENG Liang-gui |
| |
| Affiliation: | Department of Mathematics and Systems Science, National University of Defense Technology, Changsha, 410073 |
| |
| Abstract: | Let R be a ring with identity,and R-fil denote the set of all left topolo- gizing filters on R.In this paper,we give a sufficient condition for the commutativity of R-fil under the hypothesis of left Noetherianness,as well as some examples. |
| |
| Keywords: | topologizing filter Noetherian ring cofinal subset |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
