Contents

Ingredients

Concepts

Constructions

Examples

Theorems

# Contents

## Definition

An $R$-algebra $A$ is étale if the definition homomorphism $R \to A$ is, dually, an étale morphism of schemes.

A more elementary definition for algebras over a discrete field exists in constructive algebra.

étale morphism$\Rightarrow$ pro-étale morphism $\Rightarrow$ weakly étale morphism $\Rightarrow$ formally étale morphism

## References

Henri Lombardi & Claude Quitté, Constructive Algebra, Constructive Methods, 2014, PDF

Last revised on May 21, 2014 at 03:41:09. See the history of this page for a list of all contributions to it.