|
|||||
|
|
| (t,v)-Dedekind整环的局部化问题 | |
| 引用本文： | 张廷波,李庆,王芳贵.(t,v)-Dedekind整环的局部化问题[J].四川师范大学学报(自然科学版),2011,34(6). |
| 作者姓名： | 张廷波 李庆 王芳贵 |
| 作者单位： | 1. 武警警官学院教务科,四川成都,610213 2. 西南民族大学计算机科学与技术学院,四川成都,610041 3. 四川师范大学数学与软件科学学院,四川成都,610066 |
| 基金项目： | 国家自然科学基金(11171240)资助项目; 西南民族大学中央高校基本科研业务费专项资金(11NZYQN24) |
| 摘 要： | 证明了整环R是(*,v)-Dedekind整环当且仅当RX]N*是拟Dedekind整环当且仅当RX]N*是拟主理想整环.特别地,取星型算子*=v时,证明了整环R是(t,v)-Dedekind整环当且仅当RX]Nv是拟Dedekind整环当且仅当RX]Nv是拟主理想整环.同时,举例说明了(t,v)-Dedekind整环与弱分解整环之间的关系,并给出了当整环R是弱分解整环时,R是(t,v)-Dedekind整环当且仅当R是拟Dedekind整环当且仅当R是拟主理想整环. |
| 关 键 词： | (* v)-Dedekind整环 (t 星型算子 局部化 |
Localizations of(t,v)-Dedekind Domains |
|
| ZHANG Ting-bo,LI Qing,WANG Fang-gui.Localizations of(t,v)-Dedekind Domains[J].Journal of Sichuan Normal University(Natural Science),2011,34(6). | |
| Authors: | ZHANG Ting-bo LI Qing WANG Fang-gui |
| Institution: | ZHANG Ting-bo1,LI Qing2,WANG Fang-gui3(1.Dean's Office,Police Officer's College of the Chinese Armed Police Force,Chengdu 610213,Sichuan,2.College of Computer Science and Technology,Southwest University for Nationalities,Chengdu 610041,3.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
| Abstract: | In this paper,we show that R is a(*,v)-Dedekind domain if and only if RX]N* is a pseudo-Dedekind domain if and only if RX]N* is pseudo-principal.Especially,we indicate that R is a(t,v)-Dedekind domain if and only if RX]Nv is a pseudo-Dedekind domain if and only if RX]Nv is pseudo-principal.Also,we give an example,which indicates the connection between a weakly factorial domain and a(t,v)-Dedekind domain.We show that if R is a weakly factorial domain,then R is a(t,v)-Dedekind domain if and only if R is a... |
| Keywords: | (* v)-Dedekind domain (t star operation localization |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |