  The injective spectrum is a topological space associated to a ring $R$, which
agrees with the Zariski spectrum when $R$ is commutative noetherian. We
consider injective spectra of right noetherian rings (and locally noetherian
Grothendieck categories) and establish some basic topological results and a
functoriality result, as well as links between the topology and the Krull
dimension of the ring (in the sense of Gabriel and Rentschler). Finally, we use
these results to compute a number of examples.
