| 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 |
| DOI： |
| 分类号:O153.3 |
| 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. |
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| THE MILITARU-STEFAN LIFTING THEOREM OVER WEAK HOPF ALGEBRAS |
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WANG Yong
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College of Information Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China
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| 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 in[10].Moreover,we characterizer weak stable modules by a weak cleft extension of endomorphism rings of induced modules. |
| Key words: weak Hopf algebra weak Hopf-Galois extension weak cleft extension |
