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A remark on Gelfand-Kirillov dimension

Author(s): S. Paul Smith; James J. Zhang
Journal: Proc. Amer. Math. Soc. 126 (1998), 349-352.
MSC (1991): Primary 16P90
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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 $\operatorname{GKdim} C\leq \operatorname{GKdim} A-2$.

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L. W. Small, J. T. Stafford and R. B. Warfield, Affine algebras of Gelfand-Kirillov dimension one are PI, Math. Proc. Camb. Phil. Soc. 97 (1985), 407-414. MR 86g:16025

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Additional Information:

S. Paul Smith
Affiliation: Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
Email: smith@math.washington.edu

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

DOI: 10.1090/S0002-9939-98-04074-X
PII: S 0002-9939(98)04074-X
Keywords: Gelfand-Kirillov dimension
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 of article: Copyright 1998, American Mathematical Society

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