Abstract
Let H be a weak Hopf algebra, and let A/B be a weak right H-Galois extension. In this paper, we mainly discuss the extension of the endomorphism algebra of a module over A. A necessary and sufficient condition for such an extension of the endomorphism algebra to be weak H-Galois is obtained by using Hopf-Galois theory and Morita theory.
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Wang, Z.W., Chen, Y.Y. & Zhang, L.Y. Extensions of the endomorphism algebra of weak comodule algebras. Math Notes 96, 342–352 (2014). https://doi.org/10.1134/S0001434614090065
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DOI: https://doi.org/10.1134/S0001434614090065