The Stacks project

Lemma 76.52.4. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$ which is flat and locally of finite presentation. The full subcategory of $D(\mathcal{O}_ X)$ consisting of $Y$-perfect objects is a saturated1 triangulated subcategory.

[1] Derived Categories, Definition 13.6.1.

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