Cobraided Smash Product Hom-Hopf Algebras

Published 14 Apr 2016 in math.RA | (1604.04090v1)

Abstract: Let $(A,\a)$ and $(B,\b)$ be two Hom-Hopf algebras. In this paper, we construct a class of new Hom-Hopf algebras: $R$-smash product $(A\natural_R B,\a\o \b)$. Moreover, necessary and sufficient conditions for $(A\natural_R B,\a\o \b)$ to be a cobraided Hom-Hopf algebra are given.

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