Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
Minimal Pure Injective Resolutions of Complete Rings.
Minimal resolutions of lattice ideals and integer linear programming.
A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Al1gebra. The non null reduced homology spaces of some simplicial complexes are the key. The extremal rays of the associated cone reduce the number of variables.
Modular quadratic and Hermetian forms over Dedekind rings. I.
Modules of finite projective dimension with negative intersection multiplicities.
Modules of finite virtual projective dimension.
Modules of splines on polyhedral complexes.
Modules with injective cohomology, and local duality for a finite group.
Monomial conjecture and complete intersections.
Monomial ideals with 3-linear resolutions
In this paper, we study the Castelnuovo-Mumford regularity of square-free monomial ideals generated in degree . We define some operations on the clutters associated to such ideals and prove that the regularity is preserved under these operations. We apply these operations to introduce some classes of ideals with linear resolutions and also show that any clutter corresponding to a triangulation of the sphere does not have linear resolution while any proper subclutter of it has a linear resolution....
Monominal ideal residue class rings and iterated Golod maps.
Monomorphismes et morphismes absolument plats
Multigraded modules.
Multigraded regularity: syzygies and fat points.
-flat and -FP-injective modules
In this paper, we study the existence of the -flat preenvelope and the -FP-injective cover. We also characterize -coherent rings in terms of the -FP-injective and -flat modules.
New evidence for Green's conjecture on syzygies of canonical curves
Noether-Lefschetz, space curves and mathematical instantons.
Nonflat deformations of modules and isolated singularities.
Notes on generalizations of Bézout rings
In this paper, we give new characterizations of the --Bézout property of trivial ring extensions. Also, we investigate the transfer of this property to homomorphic images and to finite direct products. Our results generate original examples which enrich the current literature with new examples of non--Bézout --Bézout rings and examples of non--Bézout --Bézout rings.
Notes on the multiplicity conjecture.
New cases of the multiplicity conjecture are considered.