A bialgebra that admits a Hopf-Galois extension is a Hopf algebra
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- by Peter Schauenburg PDF
- Proc. Amer. Math. Soc. 125 (1997), 83-85 Request permission
Abstract:
Let $k$ be a commutative ring. Assume that $H$ is a $k$-bialgebra, and $A$ is an $H$-Galois extension of its coinvariant subalgebra $B$. Provided $A$ is faithfully flat over $k$, we show that $H$ is necessarily a Hopf algebra.References
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Additional Information
- Peter Schauenburg
- Affiliation: Department of Mathematics University of Southern California, Los Angeles, California 90089
- Address at time of publication: Mathematisches Institut der Universität München Theresienstr. 39 80333 München Germany
- MR Author ID: 346687
- Email: schauen@rz.mathematik.uni-muenchen.de
- Received by editor(s): April 26, 1995
- Received by editor(s) in revised form: August 4, 1995
- Communicated by: Ken Goodearl
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 83-85
- MSC (1991): Primary 16W30
- DOI: https://doi.org/10.1090/S0002-9939-97-03682-4
- MathSciNet review: 1363183