  Given a positively graded commutative coherent ring A which is finitely
generated as an A_0-algebra, a bijection between the tensor Serre subcategories
of qgr A and the set of all subsets Y\subseteq Proj A of the form
Y=\bigcup_{i\in\Omega}Y_i with quasi-compact open complement Proj A\Y_i for all
i\in\Omega is established. To construct this correspondence, properties of the
Ziegler and Zariski topologies on the set of isomorphism classes of
indecomposable injective graded modules are used in an essential way. Also,
there is constructed an isomorphism of ringed spaces (Proj A,O_{Proj A}) -->
(Spec(qgr A),O_{qgr A}), where (Spec(qgr A),O_{qgr A}) is a ringed space
associated to the lattice L_{serre}(qgr A) of tensor Serre subcategories of qgr
A.
