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Ideals and their Fitting ideals by Eisenbud, David; Ficarra, Antonino; Herzog, Jürgen; Moradi, Somayeh is a scholarly article available to read on EtoBox.

What is Ideals and their Fitting ideals about?

For an ideal $I$ in a Noetherian ring $R$, the Fitting ideals $\textrm{Fitt}_j(I)$ are studied. We discuss the question of when $\textrm{Fitt}_j(I)=I$ or $\sqrt{\textrm{Fitt}_j(I)}=\sqrt{I}$ 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.

Author

Eisenbud, David; Ficarra, Antonino; Herzog, Jürgen; Moradi, Somayeh

Published

2023

Language

EN