Cobraided smash product Hom-Hopf algebras

Abstract

Let $(A,\alpha )$ and $(B,\beta )$ be two Hom-Hopf algebras. We construct a new class of Hom-Hopf algebras: $R$-smash products $(A\mathbin {\natural _R} B,\alpha \otimes \beta )$. Moreover, necessary and sufficient conditions for $(A\mathbin {\natural _R}