- International Electronic Journal of Algebra
- Vol: 7 Issue: 7
- TWISTED SMASH COPRODUCTS IN BRAIDED MONOIDAL CATEGORIES
TWISTED SMASH COPRODUCTS IN BRAIDED MONOIDAL CATEGORIES
Authors : Wenzheng Zhao, Shengjie Gao, Tianshui Ma
Pages : 12-33
View : 15 | Download : 13
Publication Date : 2010-06-01
Article Type : Other
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.Keywords : braided monoidal categories, twisted smash coproducts, braided Hopf algebras, braided bicomodule coalgebras