On the Ratliff-Rush closure of an ideal of a one-dimensional ring

Veronica Crispin Quinonez, Marco D'Anna, Vincenzo Micale

Let $I$ be an ideal in a Noetherian ring $R$ and let $\tilde{I}$ be its Ratliff-Rush closure. In this paper we study the asymptotic Ratliff-Rush number, i.e. $h(I)=\min\{n\in\m…