Morita Contexts and Galois Theory for Weak Hopf Comodulelike Algebras  

作　　者：Qiao Ling GUO Shuan Hong WANG 

机构地区：[1]College of Mathematics and Information Engineering, Jiaxing University, Jiaxing 314001, P. R. China [2]Department of Mathematics, Southeast University, Nanjing 210096, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第4期757-772,共16页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China （Grant No. 10871042）, National Science Foundation of Jiangsu Province （Grant No. BK2009258） and Science Foundation for The Excellent Youth Scholars of Jiaxing University （Grant No. 70609010） and Scientific Research Foundation of Jiaxing University （Grant No. 70509015）

摘　　要：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.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.

关 键 词：Weak group corings graded Mortira contexts weak Hopf comodulelike algebras 

分 类 号：O152[理学—数学] O153.3[理学—基础数学]