Definition 29.6.2 (01R7)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.6: Scheme theoretic image
Definition 29.6.2 (cite)

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Definition 29.6.2. Let $f : X \to Y$ be a morphism of schemes. The scheme theoretic image of $f$ is the smallest closed subscheme $Z \subset Y$ through which $f$ factors, see Lemma 29.6.1 above.

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