A co-Frobenius Hopf algebra with a separable Galois extension is finite
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- by M. Beattie, S. Dăscălescu and Ş. Raianu PDF
- Proc. Amer. Math. Soc. 128 (2000), 3201-3203 Request permission
Abstract:
If $H$ is a co-Frobenius Hopf algebra over a field, having a Galois $H$-object $A$ which is separable over $A^{coH}$, its ring of coinvariants, then $H$ is finite dimensional.References
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Additional Information
- M. Beattie
- Affiliation: Department of Mathematics and Computer Science, Mount Allison University, Sackville, New Brunswick, Canada E4L 1E6
- Email: mbeattie@mta.ca
- S. Dăscălescu
- Affiliation: University of Bucharest, Faculty of Mathematics, Str. Academiei 14, RO-70109 Bucharest 1, Romania
- Email: sdascal@al.math.unibuc.ro
- Ş. Raianu
- Affiliation: University of Bucharest, Faculty of Mathematics, Str. Academiei 14, RO-70109 Bucharest 1, Romania
- Email: sraianu@al.math.unibuc.ro
- Received by editor(s): August 12, 1998
- Received by editor(s) in revised form: January 15, 1999
- Published electronically: May 18, 2000
- Additional Notes: The first author’s research was partially supported by NSERC
The last two authors thank Mount Allison University for their kind hospitality. - Communicated by: Ken Goodearl
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 3201-3203
- MSC (1991): Primary 16W30
- DOI: https://doi.org/10.1090/S0002-9939-00-05437-X
- MathSciNet review: 1690974