Cobraided smash product Hom-Hopf algebras
Volume 134 / 2014
Colloquium Mathematicum 134 (2014), 75-92
MSC: 16T05.
DOI: 10.4064/cm134-1-3
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 $(A\mathbin {\natural _R} B,\alpha \otimes \beta )$ to be a cobraided Hom-Hopf algebra are given.
