Definition 10.45.1 (030Y)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 10: Commutative Algebra
Section 10.45: Perfect fields
Definition 10.45.1 (cite)

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Definition 10.45.1. Let $k$ be a field. We say $k$ is perfect if every field extension of $k$ is separable over $k$ .

Comments (2)

Comment #7498 by tao on July 19, 2022 at 22:05

Shoud it be finite extension or algebraic extension here?

Comment #7641 by Stacks Project on August 14, 2022 at 11:48

No.

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