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We give the Fundamental Theorem for Hopf modules  in the category of Yetter-Drinfeld modules , where L is a quasitriangular weak Hopf algebra with a bijective antipode. We also show that H* has a right H-Hopf module structure in the Yetter-Drinfeld category. As an application we deduce the existence and uniqueness of right integral from it.

Hopf Modules in the Category of Yetter-Drinfeld Modules