Ideals and their Fitting ideals
Abstract For an ideal I in a Noetherian ring R , the Fitting ideals $\mathrm{Fitt}_j(I)$ are studied. We discuss the question of when $\mathrm{Fitt}_j(I)=I$ or $\sqrt{\mathrm{Fitt}_j(I)}=\sqrt{I}$ 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.
Authors
- Jürgen Herzog (ORCID: https://orcid.org/0000-0002-2971-2859)
- Somayeh Moradi (ORCID: https://orcid.org/0000-0002-7704-2626)
- David Eisenbud (ORCID: https://orcid.org/0000-0002-5418-5579)
- Antonino Ficarra (ORCID: https://orcid.org/0000-0001-6205-9524)
Institutions
- University of Messina (IT)
- Ilam University (IR)
- University of Duisburg-Essen (DE)
- Mathematical Sciences Research Institute (US)
Publication Details
- Journal
- Mathematical Proceedings of the Cambridge Philosophical Society
- Published
- 2025-07-30
- DOI
- https://doi.org/10.1017/s0305004125101394
- Citations
- 1
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 5.38