Definition 101.37.1 (0CL5)—The Stacks project

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Table of contents
Part 7: Algebraic Stacks
Chapter 101: Morphisms of Algebraic Stacks
Section 101.37: Proper morphisms
Definition 101.37.1 (cite)

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Definition 101.37.1. Let $f : \mathcal{X} \to \mathcal{Y}$ be a morphism of algebraic stacks. We say $f$ is proper if $f$ is separated, finite type, and universally closed.

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