Abstract
The aim of the paper is to prove the following two results.1. LetAbe a finitely partitive simple affine algebra with GK(A)<∞. Then the Krull dimension, where GK and fil.dim are the Gelfand–Kirillov and the filter dimension, respectively.2. LetBbe an integral regular domain, affine over a field of characteristic zero and let D(B) be its ring of differential operators. The filter dimension fil.dimD(B)=1.
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