- The functor of points of an affine variety
- Functors, affine varieties and Yoneda
- Affine k-schemes
- Morphisms and functors of points
- Functors of points and base ring
- Functor of points of non-affine schemes
- Galois ascent for functors of points
- Galois descent for morphisms of functors of points

- Algebraic tori
- Hopf algebras and algebraic groups
- Character groups of algebraic tori
- Representations of algebraic tori