Zariski topology on affine schemes

In Definition 1.4, we have already defined the Zariski topology on an affine scheme $\operatorname{Spec}(A)$ .

In this section we describe some of its properties. Due to a limitation on the time, we shall only give a very short account on this. See [2] for an excellent explanations on how the Zariski topology and properties of rings are related to each other.