In Sernesi's book "Deformations of Algebraic Schemes", on page 2 ("Terminology and Notation"), he defines "(schemes)" to be the category of locally noetherian separated $k$-schemes, where $k$ is a fixed alg. closed field.
Then he writes "(algschemes) = the category of algebraic schemes", but does not explain what the adjective "algebraic" means.
What does this mean?
I suspect it might mean "finite type over $k$", but I've never heard of this terminology before so hopefully someone here might be able to confirm this.
