Acyclicity test of complexes modulo Serre subcategories using the residue fields

Mitsuyasu Hashimoto, Xi Tang

Let $R$ be a commutative noetherian ring, and let $\mathcal{S}$(resp. $\mathcal{L}$) be a Serre(resp. localizing) subcategory of the category of $R$-modules. If $\mathbb{F}$ is an unbo…