The Cox ring provides a coordinate system on a toric variety analogous to the homogeneous
coordinate ring of projective space. Rational maps between projective spaces are described …

Let A be a commutative Noetherian ring which is graded by a finitely generated Abelian
group G. In this article, we introduce G-graded primary submodules and G-graded P-primary …

We study global primary decompositions in the category of sheaves on a scheme which are
equivariant under the action of an algebraic group. We show that equivariant primary …

We give an intrinsic characterization of Cox sheaves on Krull schemes in terms of their
valuative algebraic properties. We also provide a geometric characterization of their graded …

The paper explores the relation between Perling's toric Proj of a multigraded ring A
associated with a toric variety (tProj A) and Brenner and Schröer's homogeneous spectrum …

This Thesis extends the theory of Cox sheaves from the classical setting of algebraic (pre)
varieties to that of (graded) schemes, the latter being spaces which locally look like sets of …