On the Cohen-Macaulay and Gorenstein properties of multigrad rees algebras.
On the Cohen-Macaulay property of diagonal subalgebras of the Rees algebra.
On the Cohen-Macaulayness of the associated graded ring of certain monomial curves.
On the Cohen-Macaulayness of the coordinate ring of certain projective monomial curves.
On the compactness of minimal spectrum
On the dependence of Koszul homology from the generators of an ideal.
On the Deviation and the Type of a Cohen-Macaulay Ring.
On the dual of a finitely generated multiplication module II
On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals
Let , , be ideals of a Noetherian local ring . Let and be finitely generated -modules. We give a generalized version of the Duality Theorem for Cohen-Macaulay rings using local cohomology defined by a pair of ideals. We study the behavior of the endomorphism rings of and , where is the smallest integer such that the local cohomology with respect to a pair of ideals is nonzero and is the Matlis dual functor. We show that if is a -dimensional complete Cohen-Macaulay ring and ...
On the equivalence of algebraic and geometric local cohomology
In this paper, we will present several necessary and sufficient conditions on a commutative ring such that the algebraic and geometric local cohomologies are equivalent.
On the Forster-Eisenbud-Evans Conjectures.
On the Gorenstein property of the associated graded Ring of a power of an ideal.
On the Gorenstein property of the diagonals of the Rees algebra.
On the Grade of Some Ideals.
On the grades of order ideals.
On the homology of some special complexes. (Sobre la homología de algunos complejos especiales.)
On the ... in a Minimal Injective Resolution.
On the ... in a minimal injective resolution II.
On the integral closure of ideals.
On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence
Let be a local ring and a semidualizing module of . We investigate the behavior of certain classes of generalized Cohen-Macaulay -modules under the Foxby equivalence between the Auslander and Bass classes with respect to . In particular, we show that generalized Cohen-Macaulay -modules are invariant under this equivalence and if is a finitely generated -module in the Auslander class with respect to such that is surjective Buchsbaum, then is also surjective Buchsbaum.