Uniform Artin-Rees Bounds for Syzygies

Ian M. Aberbach, Aline Hosry, Janet Striuli

Let $(R,m)$ be a local Noetherian ring, let $M$ be a finitely generated $R$-module and let $(F_{\bullet },{\partial }_{\bullet })$ be a free resolution of $M$. We find a uniform bound $…