Corpus ID: 16844133

R A ] 2 9 O ct 2 00 6 Morita invariance of the filter dimension and of the inequality of

@inproceedings{Bavula2006RA,
  title={R A ] 2 9 O ct 2 00 6 Morita invariance of the filter dimension and of the inequality of},
  author={V. Bavula and V. Hinchcliffe},
  year={2006}
}
It is proved that the filter dimenion is Morita invariant. A direct consequence of this fact is the Morita invariance of the inequality of Bernstein: if an algebra A is Morita equivalent to the ring D(X) of differential operators on a smooth irreducible affine algebraic variety X of dimension n ≥ 1 over a field of characteristic zero then the Gelfand-Kirillov dimension GK (M) ≥ n = GK (A) 2 for all nonzero finitely generated A-modules M. In fact, a more strong result is proved, namely, a Morita… Expand

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