Ideals and their Fitting ideals
Abstract
For an ideal I in a Noetherian ring R, the Fitting ideals Fittj(I) are studied. We discuss the question of when Fittj(I)=I or Fittj(I)=I for some j. A classical case is the Hilbert-Burch theorem when j=1 and I is a perfect ideal of grade 2 in a local ring.
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