Abstract
Let $F$, $G$ be monoidal comonads 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.
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