Monomial Gorenstein Ideals.
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....
Monomial ideals with tiny squares and Freiman ideals
We provide a construction of monomial ideals in such that , where denotes the least number of generators. This construction generalizes the main result of S. Eliahou, J. Herzog, M. Mohammadi Saem (2018). Working in the ring , we generalize the definition of a Freiman ideal which was introduced in J. Herzog, G. Zhu (2019) and then we give a complete characterization of such ideals. A particular case of this characterization leads to some further investigations on that generalize some results...
Monominal ideal residue class rings and iterated Golod maps.
Monomorphismes et morphismes absolument plats
More on polynomial Bézoutians with respect to a general basis.
More on the strongly 1-absorbing primary ideals of commutative rings
Let be a commutative ring with identity. We study the concept of strongly 1-absorbing primary ideals which is a generalization of -ideals and a subclass of -absorbing primary ideals. A proper ideal of is called strongly 1-absorbing primary if for all nonunit elements such that , it is either or . Some properties of strongly 1-absorbing primary ideals are studied. Finally, rings over which every semi-primary ideal is strongly 1-absorbing primary, and rings over which every strongly...
Morita-injektive Moduln über kommutativen Dedekind-Ringen.
Multi-graded extended Rees algebras of -primary ideals.
Multigraded factorial rings and Fano varieties with torus action.
Multigraded modules.
Multigraded regularity: syzygies and fat points.
Multiplication modules and homogeneous idealization.
Multiplication modules and homogeneous idealization. II.
Multiplication modules and homogeneous idealization. III.
Multiplication modules and related results
Let be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication -module (see [8], [12] and [3]).
Multiplication modules and tensor product.
Multiplicité et formes éliminantes
Multiplicité et norme d'un idéal fractionnaire et régulier
Multiplicities and Hilbert Functions under Blowing Up.