Smash coproducts of bicomonads and Hom-entwining structures
  Let $F,G$ be bicomonads on a monoidal category $\mathcal{C}$. The aim of this paper is to discuss the smash coproducts of $F$ and $G$. As an application, the smash coproduct of Hom-bialgebras is discussed. Further, the Hom-entwining structure and Hom-entwined modules are investigated. 
Xiaohui Zhang, Wei Wang, Xiaofan Zhao
math.RA