Cobraided Smash Product Hom-Hopf Algebras

Let $(A,\text{a})$ and $(B,\text{b})$ be two Hom-Hopf algebras. In this paper, we construct a class of new Hom-Hopf algebras: $R$-smash product $(A\natural_R B,\a\o \b)$\mathrm{.}Moreover,necessaryandsufficientconditionsfor$(A\natural_R B,\a\o \b)$ to be a cobraided Hom-Hopf algebra are given.