The Stacks project

Definition 26.4.4. Let $X$ be a locally ringed space. Let $\mathcal{I}$ be a sheaf of ideals on $X$ which is locally generated by sections. The locally ringed space $(Z, \mathcal{O}_ Z)$ of Example 26.4.3 above is the closed subspace of $X$ associated to the sheaf of ideals $\mathcal{I}$.

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