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A remark on Gelfand-Kirillov dimension
Authors:S. Paul Smith   James J. Zhang
Affiliation:Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195 ; Department of Mathematics, Box 354350, University of Washington, Seattle, Washington 98195
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 $operatorname{GKdim} Cleq operatorname{GKdim} A-2$.

Keywords:Gelfand-Kirillov dimension
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