| 弱Galois扩张与反Smash积 |
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| 引用本文： | 陈惠香.弱Galois扩张与反Smash积[J].数学学报,1998,41(6):0-1172. |
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| 作者姓名： | 陈惠香 |
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| 作者单位： | 扬州大学师范学院数学系!扬州，225002 |
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| 摘 要： | 本文对（H,K）-余模代数A，讨论了弱Galois扩张A／C，证明了k的每个自由二次扩张是弱Galois扩张．并利用反Smash积＃op（K，A）与K－余不变子代数C之间的Morita联系讨论A的投射性、Galois扩张及其传递性．
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| 关 键 词： | 余模代数 自由二次扩张 弱Galois扩张 投射模 |
Weak Galois Extensions and Opposite Smash Products |
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| Chen Huixiang.Weak Galois Extensions and Opposite Smash Products[J].Acta Mathematica Sinica,1998,41(6):0-1172. |
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| Authors: | Chen Huixiang |
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| Institution: | Chen Huixiang (Department of Mathematics, Yangzhou University, Yangzhou 225002, China) |
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| Abstract: | In this paper, we discuss the weak Galois extension for any (H, K) -comodule algebra A, and prove that any free quadratic extension of k is a weak Galois extension. Then we discuss the projectivity of A, Galios extensions and their transitivity by using the Morita relation bewteen the opposite smash product #op(K, A) and the K-coinvariant subalgebra C. |
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| Keywords: | Comodule algebra Free quadratic extension Weak Galois extension Projective module |
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