Cofiniteness of local cohomology modules and subcategories of modules

Ryo Takahashi, Naoki Wakasugi

Let $R$ be a commutative noetherian ring and $I$ an ideal of $R$. Assume that for all integers $i$ the local cohomology module $H_I^i(R)$ is $I$-cofinite. Suppose that $R_\mathfrak…