A note on Ratliff-Rush filtration, reduction number and postulation number of $\mathfrak{m}$-primary ideals

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. Let rd$(I)$ be the reduction number of $I$ and n$(I)$ the postul…