# Name for “étale-essential” properties

A map of rings $$f:A\to B$$ is called "essentially $$P$$" if there exists some $$A\to C\to B$$ such that $$A\to C$$ has property $$P$$ and $$C\to B$$ is a localization, that is to say, a filtered colimit of Zariski-open $$C$$-algebras.

Is there a name for a map $$A\to B$$ such that there exists a factorization $$A\to C\to B$$ such that $$A\to C$$ has property $$P$$ and $$C\to B$$ is a strict localization, that is to say, a filtered colimit of étale $$C$$-algebras?