Bounds on the Ratliff-Rush Index and the Castelnuovo-Mumford Regularity

Mousumi Mandal, Shruti Priya

Let $(R,\mathfrak{m})$ be a Cohen-Macaulay local ring of dimension $d\ge 2,$ and $I$ an $\mathfrak{m}$-primary ideal of $R.$ Denote $r_J(I)$ as the reduction number of $I$ with…