A criterion for cofiniteness of modules

Mohammad Khazaei, Reza Sazeedeh

Let $A$ be a commutative noetherian ring, $\mathfrak{a}$ be an ideal of $A$, $m,n$ be non-negative integers and let $M$ be an $A$-module such that $\Ext^i_A(A/\frak a,M)$ is finitely ge…