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YCor
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Comodule Morita Equivalenceequivalence for Hopf algebras

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Jake Wetlock
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Comodule Morita Equivalence for Hopf algebras

Let $A$ and $B$ be two Hopf algebras, and denote by $\mathcal{M}^A$ and $\mathcal{M}^B$ their respective categories of right comodules. If we have a monoidal equivalence between $\mathcal{M}^A$ and $\mathcal{M}^B$ then what can we saw about the relationship between $A$ and $B$? What properties do they share in common, and what is an example of two non-isomorphic Hopf algebras satisfying tis property?