Bounding reduction number and the Hilbert coefficients of filtration

Kumari Saloni, Anoot Kumar Yadav

Let $(A,\m)$ be a Cohen-Macaulay local ring of dimension $d\ge 3$, $I$ an $\m$-primary ideal and $\mathcal{I}=\{I_n{\}}_{n\ge 0}$ an $I$-admissible filtration. We establish bounds…