On generalized Hopf galois extensions

Citations of this article
Mendeley users who have this article in their library.


The key part of the definition of a Hopf-Galois extension B ⊂ A over the Hopf algebra H is bijectivity of a canonical map β: A⊗ B A → A ⊗ H. We develop criteria under which surjectivity of β (which is usually much easier to verify) is sufficient, and we investigate the consequences for the structure of A as a B-module and H-comodule. In particular, we prove equivariant projectivity of extensions in several important cases. We study these questions for generalizations of H-Galois extensions like Q-Galois extensions for a quotient coalgebra and one-sided module of a Hopf algebra H, and coalgebra Galois extensions. © 2005 Elsevier B.V. All rights reserved.




Schauenburg, P., & Schneider, H. J. (2005). On generalized Hopf galois extensions. Journal of Pure and Applied Algebra, 202(1–3), 168–194. https://doi.org/10.1016/j.jpaa.2005.01.005

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free