Artinian Hopf algebras are finite dimensional
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- by Chia-Hsin Liu and James J. Zhang PDF
- Proc. Amer. Math. Soc. 135 (2007), 1679-1680 Request permission
Abstract:
We prove that an artinian Hopf algebra over a field is finite dimensional. This answers a question of Bergen.References
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Additional Information
- Chia-Hsin Liu
- Affiliation: Department of Mathematics, National Taiwan Normal University, 88 Sec. 4, Ting Chou Road, Taipei, Taiwan, ROC
- Email: chliu@math.ntnu.edu.tw
- James J. Zhang
- Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
- MR Author ID: 314509
- Email: zhang@math.washington.edu
- Received by editor(s): February 18, 2006
- Received by editor(s) in revised form: March 10, 2006
- Published electronically: February 6, 2007
- Additional Notes: The first author’s research was partially supported by the NSC of ROC
The second author’s research was partially supported by the NSF - Communicated by: Martin Lorenz
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1679-1680
- MSC (2000): Primary 16W30
- DOI: https://doi.org/10.1090/S0002-9939-07-08711-4
- MathSciNet review: 2286075