Hopf bigalois extensions
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Publication:4714528
DOI10.1080/00927879608825788zbMath0878.16020OpenAlexW2032242707MaRDI QIDQ4714528
Publication date: 5 January 1998
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879608825788
\(H\)-Galois extensionsnoncommutative Hopf algebrasequivalences of monoidal categoriesHopf bigalois extensions
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Cites Work
- Unnamed Item
- Unnamed Item
- On Hopf algebras and rigid monoidal categories
- Principal homogeneous spaces for arbitrary Hopf algebras
- Galois extensions as functors of comodules
- Fibre functors of finite dimensional comodules
- Hopf-Galois extensions of algebras, the Miyashita-Ulbrich action, and Azumaya algebras
- Representation theory of Hopf Galois extensions
- Galois theories and normal bases
- Galois algebras and Harrison cohomology
- Quantum Yang-Baxter module algebras
- Galois-type correspondences for Hopf-Galois extensions
- Hopf Galois theory for separable field extensions
- Quantum groups and representations of monoidal categories
- Braided bialgebras and quadratic blalgebras
- Hopf bimodules over hopf-galois extensions, miyashita-ulbrich actions, and monoidal center constructions
- On a transformation of the hopf algebra in a hopf galois extension
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