The Stacks project

Exercise 111.60.1 (Definitions). Provide brief definitions of the italicized concepts.

1. the left adjoint of a functor $F : \mathcal{A} \to \mathcal{B}$,

2. the transcendence degree of an extension $L/K$ of fields,

3. a regular function on a classical affine variety $X \subset k^ n$,

4. a sheaf on a topological space,

5. a local ring, and

6. a morphism of schemes $f : X \to Y$ being affine.