Work

Ideals and their Fitting ideals

Year: 2025

Type: article

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.

Source: Mathematical Proceedings of the Cambridge Philosophical Society

DOI: 10.1017/s0305004125101394

Authors: DAVID EISENBUD, ANTONINO FICARRA, JÜRGEN HERZOG, SOMAYEH MORADI

Institutions: Mathematical Sciences Research Institute, University of California, Berkeley, University of Messina, University of Duisburg-Essen, Ilam University

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Alexander von Humboldt-Stiftung

OpenAlex ID: W4412769551

FWCI: 3.401

Cites: 9

Cited by: 1

Related to: 10