TWISTED SMASH COPRODUCTS IN BRAIDED MONOIDAL CATEGORIES

Abstract

Let A ×r H be a twisted smash coproduct for a bicomodule coalgebra A by a Hopf algebra H in a braided monoidal category. The smash coproduct in a braided monoidal category is the special case of A ×r H. Moreover, we find a necessary and sufficient condition for A ×r H to be a bialgebra.