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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Noetherian PI Hopf algebras are Gorenstein


Authors: Q.-S. Wu and J. J. Zhang
Journal: Trans. Amer. Math. Soc. 355 (2003), 1043-1066
MSC (2000): Primary 16E10, 16W30
Published electronically: October 24, 2002
MathSciNet review: 1938745
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Abstract: We prove that every noetherian affine PI Hopf algebra has finite injective dimension, which answers a question of Brown (1998).


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Additional Information

Q.-S. Wu
Affiliation: Institute of Mathematics, Fudan University, Shanghai, 200433, China
Email: qswu@fudan.edu.cn

J. J. Zhang
Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
Email: zhang@math.washington.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-02-03106-9
PII: S 0002-9947(02)03106-9
Keywords: Hopf algebra, injective dimension
Received by editor(s): May 22, 2002
Published electronically: October 24, 2002
Additional Notes: The first author was supported in part by the NSFC (project 10171016) and the second author was supported in part by the NSF
Article copyright: © Copyright 2002 American Mathematical Society