nLab étale algebra

Redirected from "van Kampen colimits".

Contents

Context

Étale morphisms

Contents

Definition
Related concepts
References

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.

Related concepts

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.