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Artinian Hopf algebras are finite dimensional
Author(s):
Chia-Hsin
Liu;
James
J.
Zhang
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1679-1680.
MSC (2000):
Primary 16W30
Posted:
February 6, 2007
MathSciNet review:
2286075
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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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- I.G. Connell, On the group ring, Canad. J. Math. 15 (1963), 650-685.MR 0153705 (27:3666)
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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
Email:
zhang@math.washington.edu
DOI:
10.1090/S0002-9939-07-08711-4
PII:
S 0002-9939(07)08711-4
Received by editor(s):
February 18, 2006
Received by editor(s) in revised form:
March 10, 2006
Posted:
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 of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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