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

DOI:
https://doi.org/10.1090/S0002-9947-02-03106-9

Published electronically:
October 24, 2002

MathSciNet review:
1938745

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9947-02-03106-9

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