The Stacks project

Definition 69.12.1. Let $S$ be a scheme. Let $X$ be a locally Noetherian algebraic space over $S$. A quasi-coherent module $\mathcal{F}$ on $X$ is called coherent if $\mathcal{F}$ is a coherent $\mathcal{O}_ X$-module on the site $X_{\acute{e}tale}$ in the sense of Modules on Sites, Definition 18.23.1.