Maximally generated Cohen-Macaulay modules.
Meandering of trajectories of polynomial vector fields in the affine n-space.
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane.The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives.This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted...
Measurable products of modules
Medial subcartesian products of fields
Melkersson condition on Serre subcategories
Let R be a commutative noetherian ring, let be an ideal of R, and let be a subcategory of the category of R-modules. The condition , defined for R-modules, was introduced by Aghapournahr and Melkersson (2008) in order to study when the local cohomology modules relative to belong to . In this paper, we define and study the class consisting of all modules satisfying . If and are ideals of R, we get a necessary and sufficient condition for to satisfy and simultaneously. We also find some sufficient...
Minimal degree solutions for the Bezout equation
Minimal degree solutions of polynomial equations
Minimal injective resolutions
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.
Minimal sets of generators for the relation ideals of certain monomial curves.
Minimale Erzeugendenanzahl von Moduln.
Minimale Erzeugendensystem und minimale Primteiler von monomialen Radikalidealen.
Mittag-Leffler modules and semi-hereditary rings
Miyanishi's characterization of the affine 3-space does not hold in higher dimensions
We present an example which confirms the assertion of the title.
Model-completeness for sheaves of structures
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.