Ideals and their Fitting ideals
Commutative Algebra
2025-10-08 v1
Abstract
For an ideal in a Noetherian ring , the Fitting ideals are studied. We discuss the question of when or for some . A classical case is the Hilbert-Burch theorem when and is a perfect ideal of grade in a local ring.
Cite
@article{arxiv.2401.00541,
title = {Ideals and their Fitting ideals},
author = {David Eisenbud and Antonino Ficarra and Jürgen Herzog and Somayeh Moradi},
journal= {arXiv preprint arXiv:2401.00541},
year = {2025}
}