Weakly δ-Koszul Modules

Castelnuovo-mumford Regularity for Complexes and Weakly Koszul Modules

Let A be a noetherian AS regular Koszul quiver algebra (if A is commutative, it is essentially a polynomial ring), and grA the category of finitely generated graded left A-modules. Following Jørgensen, we define the CastelnuovoMumford regularity reg(M•) of a complex M• ∈ D(grA) in terms of the local cohomologies or the minimal projective resolution of M•. Let A be the quadratic dual ring of A. ...

On δ-Quasi Armendariz Modules

On Weakly Co-Hopfian Modules

δ-Small Submodules and δ-Supplemented Modules

Regularity of Modules over a Koszul Algebra

We prove that every module over a commutative homogeneous Koszul algebra has regularity bounded by its regularity over a polynomial ring of which the Koszul algebra is a homomorphic image. From this we derive a result conjectured by George Kempf to the effect that a suffkiently high truncation of any module over a homogeneous Koszul algebra has a linear free resolution. ‘E’ 1992 Academic Press....