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 inActa mathematica Sinica. English series Vol. 27; no. 4; pp. 757 - 772
Main Authors Guo, Qiao Ling, Wang, Shuan Hong
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.04.2011
Springer Nature B.V
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
16W50
graded Mortira contexts
16W30
Weak group corings
weak Hopf comodulelike algebras
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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.
Bibliography:Weak group corings, graded Mortira contexts, weak Hopf comodulelike algebras
O152
11-2039/O1
O153.3
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-011-8286-9