Bounds for the reduction number of primary ideal in dimension three

Mousumi Mandal, Kumari Saloni

Let $(R,\mathfrak{m})$ be a Cohen-Macaulay local ring of dimension $d\ge 3$ and $I$ an $\mathfrak{m}$-primary ideal of $R$. Let $r_J(I)$ be the reduction number of $I$ with respec…