Weird Example: Pull-back of Noetherian Isn’t Noetherian

In this post we just give a simple, but nice example, to show that ‘Noetherian’ is not a property preserved under pull-back.

What Information is Contained in an ‘Infinitesimal Neighborhood’ of a Point?

In this post we discuss the notion of an ‘infinitesimal neighborhood’ of a point of a scheme , and how this relates to the ring .

Group Schemes and Affine Group Schemes

In this post we motivate the notion of affine group schemes, and discuss the various equivalent ways of defining them.