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Morita equivalence for weak Hopf–Galois extensions

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ABSTRACT Let H be a commutative weak Hopf algebra over a fixed field k, and A,B be weak H-Hopf Galois extensions. In this paper, we give a structure theorem for… Click to show full abstract

ABSTRACT Let H be a commutative weak Hopf algebra over a fixed field k, and A,B be weak H-Hopf Galois extensions. In this paper, we give a structure theorem for the category of weak relative Hopf bimodules. We also investigate the Morita equivalences between A and B based on the structure theorem.

Keywords: hopf; galois extensions; hopf galois; weak hopf; morita equivalence

Journal Title: Communications in Algebra
Year Published: 2017

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