Ideals and their Fitting ideals

David Eisenbud, Antonino Ficarra, Jürgen Herzog +1

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