| 模的r-比较与r-幂比较 |
| |
| 引用本文： | 黎奇升,佟文廷.模的r-比较与r-幂比较[J].数学学报,2007,50(3):567-576. |
| |
| 作者姓名： | 黎奇升 佟文廷 |
| |
| 作者单位： | 吉首大学数学与计算机科学学院，南京大学数学系 吉首 416000，南京 210093 |
| |
| 基金项目： | 国家自然科学基金(10071035)，湖南省自然科学基金(03JJY6017)，吉首大学博士基金 |
| |
| 摘 要： | 本文研究模的r-比较性和r-幂比较性,给出了r-比较性的新刻划,得到了模的r-幂比较结构与其自同态环的r-幂比较性间的关系,证明了如果模M为r-幂比较的则它的任意直和项也是r-幂比较的．对于可分置换环,给出了r-幂比较性与r-比较性间的联系．
|
| 关 键 词： | r-比较 r-幂比较 置换环 可分性 |
| 文章编号： | 0583-1431（2007）03-0567-10 |
| 收稿时间： | 2005-11-28 |
| 修稿时间： | 2005-11-28 |
The r-Comparability and r-Power Comparability of Modules |
| |
| Qi Sheng LI,Wen Ting TONG.The r-Comparability and r-Power Comparability of Modules[J].Acta Mathematica Sinica,2007,50(3):567-576. |
| |
| Authors: | Qi Sheng LI Wen Ting TONG |
| |
| Institution: | 1. College of Mathematics and Computer Science, Jishou University, Jishou 416000, P. R. China;2.Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China |
| |
| Abstract: | This paper concerns the related comparability and related power compa- rability of rings and modules,and some new characterizations for the related compa- rability are given.The relations between the related power comparability of rings and the related power comparable structures of modules are obtained.It is shown that if a module M has the related power comparability then so does each direct summand of M.For a separative exchange ring R,we further give the connections between the related comparability and the related power comparability. |
| |
| Keywords: | related comparability related power comparability exchange rings separability |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
