| 弱Hopf代数上的Militaru-Stefan提升定理 |
| |
| 引用本文： | 王勇.弱Hopf代数上的Militaru-Stefan提升定理[J].数学杂志,2017,37(2):325-339. |
| |
| 作者姓名： | 王勇 |
| |
| 作者单位： | 南京晓庄学院信息工程学院, 江苏 南京 211171 |
| |
| 基金项目： | Supported by National Natural Science Foundation of China (11401522); Natural Science Foundation for Colleges and Universities in Jiangsu Province (13KJD110008); Postdoctoral Research Program of Zhejiang Province (BSH1402029); Qing Lan Project. |
| |
| 摘 要： | 本文研究了弱Hopf-Galois扩张的扩张模.利用忠实平坦的弱Hopf-Galois扩张理论，研究了弱Hopf代数上的Militaru-Stefan提升定理，推广了文献10]中的相应结果.进一步地，通过诱导模的自同态环的cleft扩张刻画了弱稳定模.
|
| 关 键 词： | 弱Hopf代数 弱Hopf-Galois扩张 弱cleft扩张 |
| 收稿时间： | 2015/9/14 0:00:00 |
| 修稿时间： | 2016/3/4 0:00:00 |
THE MILITARU-STEFAN LIFTING THEOREM OVER WEAK HOPF ALGEBRAS |
| |
| WANG Yong.THE MILITARU-STEFAN LIFTING THEOREM OVER WEAK HOPF ALGEBRAS[J].Journal of Mathematics,2017,37(2):325-339. |
| |
| Authors: | WANG Yong |
| |
| Institution: | College of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China |
| |
| Abstract: | The paper is concerned with extension modules for weak Hopf-Galois extensions.By using faithfully flat weak Hopf-Galois extension theory,we investigative the Militaru-Stefan lifting theorem over weak Hopf algebras,which extends the corresponding result given in10].Moreover,we characterizer weak stable modules by a weak cleft extension of endomorphism rings of induced modules. |
| |
| Keywords: | weak Hopf algebra weak Hopf-Galois extension weak cleft extension |
|
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
