Annihilation of cohomology, generation of modules and finiteness of derived dimension

Abdolnaser Bahlekeh, Ehsan Hakimian, Shokrollah Salarian +1

Let $(R,\m,k)$ be a commutative noetherian local ring of Krull dimension $d$. We prove that the cohomology annihilator $\ca(R)$ of $R$ is $\m$-primary if and only if for some $n\ge…