Commutative Algebra

For an ideal $I$ in a ring $R$, recall that $V(I)\subseteq \operatorname{Spec}(R)$ denotes the set of prime ideals $\wp$ of $R$ containing $I$, i.e. primes $\wp$ such that $\wp\ge I$. Thus the map $\wp\mapsto \wp + I$ defines a one-to-one correspondence $V(I)\to \operatorname{Spec}(R/I)$.