Minimale Erzeugendensystem und minimale Primteiler von monomialen Radikalidealen.
Mittag-Leffler modules and semi-hereditary rings
Models of group schemes of roots of unity
Let be a discrete valuation ring of mixed characteristics , with residue field . Using work of Sekiguchi and Suwa, we construct some finite flat -models of the group scheme of -th roots of unity, which we call Kummer group schemes. We carefully set out the general framework and algebraic properties of this construction. When is perfect and is a complete totally ramified extension of the ring of Witt vectors , we provide a parallel study of the Breuil-Kisin modules of finite flat models...
Modular quadratic and Hermetian forms over Dedekind rings. I.
Modular quadratic and Hermitian forms over Dedekind rings.
Modules réflexifs et anneaux factoriels
Moduli space of filtered -ring structures over a filtered ring.
Monomial Buchsbaum ideals in Ipr.
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.
Morita-injektive Moduln über kommutativen Dedekind-Ringen.
Multigraded factorial rings and Fano varieties with torus action.
Multigraded modules.
Mutating seeds: types and .
In the cases and , we describe the seeds obtained by sequences of mutations from an initial seed. In the case, we deduce a linear representation of the group of mutations which contains as matrix entries all cluster variables obtained after an arbitrary sequence of mutations (this sequence is an element of the group). Nontransjective variables correspond to certain subgroups of finite index. A noncommutative rational series is constructed, which contains all this information.
Nagata rings and directed unions of Artinian subrings.
Néron models and tame ramification
Newton and Schinzel sequences in quadratic fields
We give the maximal length of a Newton or a Schinzel sequence in a quadratic extension of a global field. In the case of a number field, the maximal length of a Schinzel sequence is 1, except in seven particular cases, and the Newton sequences are also finite, except for at most finitely many cases, all real. We give the maximal length of these sequences in the special cases. We have similar results in the case of a quadratic extension of a function field , taking in account that the ring of integers...
Newton Polyhedra and Irreducibility.