该文给出了弱相关Hopf模范畴和余不变子模范畴之间的关系,以及余不变函子(·)~(coH)有和诱导Ind=·_B A的一些应用,并且证明了弱相关Hopf模范畴_AM~(H*)同构于弱smash积模范畴_(A#H)M.
In this paper,the author gives relations between the category of coinvariant modules and the category of weak relative Hopf modules,and gives some applications of the coinvariant functor(·)~(coH) and the induced functor Ind=·_B A.Moreover,it is showed that the category _AM~(H~*) of weak relative Hopf modules is isomorphic to the category _(A#H)M of weak smash product modules.