Morita equivalence for weak Hopf–Galois extensions

Zhong-wei Wang, Cong Chen,Liang-yun Zhang

COMMUNICATIONS IN ALGEBRA（2017）

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摘要

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 M-A(B)H of weak relative Hopf bimodules. We also investigate the Morita equivalences between A and B based on the structure theorem.

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关键词

Morita equivalence,weak Hopf algebra,weak Hopf-Galois extension,weak relative Hopf bimodule

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