A remark on Gelfand-Kirillov dimension
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- by S. Paul Smith and James J. Zhang PDF
- Proc. Amer. Math. Soc. 126 (1998), 349-352 Request permission
Abstract:
Let $A$ be a finitely generated non-PI Ore domain and $Q$ the quotient division algebra of $A$. If $C$ is the center of $Q$, then $\operatorname {GKdim} C\leq \operatorname {GKdim} A-2$.References
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Additional Information
- S. Paul Smith
- Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
- MR Author ID: 190554
- Email: smith@math.washington.edu
- 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): July 12, 1996
- Received by editor(s) in revised form: August 20, 1996
- Additional Notes: This research was supported in part by the NSF
- Communicated by: Lance W. Small
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 349-352
- MSC (1991): Primary 16P90
- DOI: https://doi.org/10.1090/S0002-9939-98-04074-X
- MathSciNet review: 1415339