Co-Cohen-Macaulay Modules and Local Cohomology

Abstract EN

Let (R,?) be a commutative Noetherian local ring and let M be a finitely generated R-module of dimension d.

Then the following statements hold: (a) if width (H?i (M))≥i-1 for all i with 2≤i

As consequence, if H?i (M) is co-Cohen-Macaulay of Noetherian dimension i for all i with 0≤i