摘要
In this paper,we study the category of corepresentations of a monoidal comonad.We show that it is a semisimple category if and only if the monoidal comonad is a cosemisipmle(coseparable)comonad,and it is a braided category if and only if the monoidal comonad admit a cobraided structure.At last,as an application,the braided structure and the semisimplicity of the Hom-comodule category of a monoidal Hom-bialgebra are discussed.
基金
the National Natural Science Foundation of China(Nos.11626138,11626139)
the Natural Science Foundation of Shandong Province(No.ZR2016AQ03).
