Algebraic geometry II - schemes and sheaves

1) Kahler differentials and separable extension. Kahler differentials of a finitely generated field extension.

2) Freeness of sheaf of Kahler differentials vs regularity of a point.

3) Openness of regular locus.

4) Universality of effacable delta functors.

5) Universal delta functors attached to a left exact functor when there are enough injectives.