Definition 66.24.1 (03EA)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 66: Properties of Algebraic Spaces
Section 66.24: Noetherian spaces
Definition 66.24.1 (cite)

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Definition 66.24.1. Let $S$ be a scheme. Let $X$ be an algebraic space over $S$ . We say $X$ is Noetherian if $X$ is quasi-compact, quasi-separated and locally Noetherian.

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