Über Macaulayfizierung.
Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.
Upper Bounds for the Degrees of the Equations Defining Locally Cohen-Macaulay Schemes.