This paper,mainly gives the structure theorem for module coalgebras by a kind of new method,and deletes the condition that the antipode S of the Hopf algebra H is bijective.
With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct,this paper first gives some basic constructions which make sense to consider the derived functors of some left e...With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct,this paper first gives some basic constructions which make sense to consider the derived functors of some left exact functors from the category of comodules to vector spaces.Then,the Hochschild–Serre spectral sequence for twisted Smash coproduct coalgebras is obtained,which extends some results on homological properties given in the category of comodules over Smash coproduct in the literature.展开更多
基金Supported by the National Natural Science Foundation of China（10871170） Supported by the Educational Minister Science Technology Key Foundation of China（108154）
文摘This paper,mainly gives the structure theorem for module coalgebras by a kind of new method,and deletes the condition that the antipode S of the Hopf algebra H is bijective.
基金Supported by the Natural Science Foundation of Shandong Provience(Grant No.ZR2012AL02)。
文摘With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct,this paper first gives some basic constructions which make sense to consider the derived functors of some left exact functors from the category of comodules to vector spaces.Then,the Hochschild–Serre spectral sequence for twisted Smash coproduct coalgebras is obtained,which extends some results on homological properties given in the category of comodules over Smash coproduct in the literature.
