  We initiate the theory of graded commutative 2-rings, a categorification of
graded commutative rings. The goal is to provide a systematic generalization of
Paul Balmer's comparison maps between the spectrum of tensor-triangulated
categories and the Zariski spectra of their central rings. By applying our
constructions, we compute the spectrum of the derived category of perfect
complexes over any graded commutative ring, and we associate to every scheme
with an ample family of line bundles an embedding into the spectrum of an
associated graded commutative 2-ring.
