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Crossed product Hom-Hopf algebras and la...
Lu, Daowei...

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Crossed product Hom-Hopf algebras and lazy 2-cocycle by Lu, Daowei ( Author )
Lemonjar Open Access
N.A
04-09-2015
Let $(H,\a)$ be a Hom-Hopf algebra and $(A,\b)$ be a Hom-algebra. In this paper we will construct the Hom-crossed product $(A\#_\sigma H,\bø\a)$, and prove that the extension A⊆A#σH is actually a Hom-type cleft extension and vice versa. Then we will give the necessary and sufficient conditions to make $(A\#_\sigma H,\bø\a)$ a Hom-Hopf algebra. Finally we will study the lazy 2-cocycle on $(H,\a)$.
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https://arxiv.org/abs/1509.01518
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