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Cobraided smash product Hom-Hopf algebras

Tianshui Ma;  Haiying Li;  Tao Yang — 2014

Colloquium Mathematicae

Let (A,α) and (B,β) be two Hom-Hopf algebras. We construct a new class of Hom-Hopf algebras: R-smash products ( A ♮ R B , α ⊗ β ) . Moreover, necessary and sufficient conditions for ( A ♮ R B , α ⊗ β ) to be a cobraided Hom-Hopf algebra are given.

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