Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
Universally Koszul algebras defined by monomials
Unobstructedness and dimension of families of Gorenstein algebras.
The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a polynomial ring R. We prove a very general theorem on deformations of the homogeneous coordinate ring of a scheme Proj(A) which is defined as the degeneracy locus of a regular section of the dual of some sheaf M of rank r supported on say an arithmetically Cohen-Macaulay subscheme Proj(B) of Proj(R). Under certain conditions (notably; M maximally Cohen-Macaulay and ∧r M ≈ KB(t) a twist of the canonical...
Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.
Valuations and lengths of constructible modules.
Vanishing of Cotangent Functors.
Vector Bundles over Affine Surfaces.
Wenn B ein Hauptidealring ist, so sind alle projektiven B [X, Y]-Moduln frei.
When every flat ideal is projective
In this paper, we study the class of rings in which every flat ideal is projective. We investigate the stability of this property under homomorphic image, and its transfer to various contexts of constructions such as direct products, and trivial ring extensions. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.
z⁰-Ideals and some special commutative rings
In a commutative ring R, an ideal I consisting entirely of zero divisors is called a torsion ideal, and an ideal is called a z⁰-ideal if I is torsion and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We prove that in large classes of rings, say R, the following results hold: every z-ideal is a z⁰-ideal if and only if every element of R is either a zero divisor or a unit, if and only if every maximal ideal in R (in general, every prime z-ideal) is a z⁰-ideal,...
Zur endlichen homologischen Dimension von Differentialmoduln.
Zur Existenz dualisierender Komplexe.
Zur Homologietheorie der assoziativen Algebren.
Zur lokalen Hochschild-Homologie eines komplexen Raums.
Zur lokalen Kohomologie des kanonischen Moduls.
Zur Theorie der perfekten und quasi perfekten Moduln
Zwei Bemerkungen über seminormale Ringe.
Группа Стейнберга кольца многочленов
Деформация алгебр Ли
К теории размерности для комплексов