Morita Contexts and Galois Theory for Weak Hopf Comodulelike Algebras

We investigate the Morita context and graded cases for weak group corings and derive some equivalent conditions for p to be surjective. Furthermore, we develop Galois theory for weak group corings. As an application, we give Galois theory for comodulelike algebras over a weak Hopf group coalgebra.

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2011-04, Vol.27 (4), p.757-772
Main Authors: Guo, Qiao Ling, Wang, Shuan Hong
Format: Article
Language:English
Subjects:
Algebra
Coring
Equivalence
Hopf群余代数
Mathematical analysis
Mathematics
Mathematics and Statistics
Studies
上下文
代数理论
伽罗瓦理论
弱Hopf代数
弱势群体
等价条件
Citations: Items that this one cites
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Description
Summary:We investigate the Morita context and graded cases for weak group corings and derive some equivalent conditions for p to be surjective. Furthermore, we develop Galois theory for weak group corings. As an application, we give Galois theory for comodulelike algebras over a weak Hopf group coalgebra.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-011-8286-9