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 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.展开更多
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)
文摘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.