Sulla proprietà di estensione nei domini noetheriani
Sulle localizzazioni che conservano il grado
Sur le nombre de générateurs des idéaux à gauche d'une algèbre de Weyl
Sur les modules linéairement compacts
Tensor products of modules, rigidity and local cohomology.
The Bass-Murthy question: Serre dimension of Laurent polynomial extensions.
The dimension of certain catalecticant varieties.
The Euler Characteristic of a Finitely Generated Module of Finite Injective Dimension.
The first term in a minimal pure injective resolution.
The Heigth of Ideals and Regular Sequences.
The operation and operation of Cohen-Macaulay bipartite graphs
Let be a finite simple graph with the vertex set and let be its edge ideal in the polynomial ring . We compute the depth and the Castelnuovo-Mumford regularity of when or is a graph obtained from Cohen-Macaulay bipartite graphs , by the operation or operation, respectively.
Two applications of dualizing complexes over local rings
Über das Verhalten der Betti-Reihe eines lokalen Ringes bei monoidalen Transformationen
Ueber die minimale Dimension der assoziierten Primideale der Komplettion eines lokalen Integritätsbereiches.
Un exemple d'anneau caténaire
Valuations and lengths of constructible modules.
Vanishing Tensor Powers of Modules.
When is each proper overring of R an S(Eidenberg)-domain?
A domain R is called a maximal "non-S" subring of a field L if R ⊂ L, R is not an S-domain and each domain T such that R ⊂ T ⊆ L is an S-domain. We show that maximal "non-S" subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim(R) = 1, dimv(R) = 2 and L = qf(R).
Zero-dimensional pairs.
Zero-Dimensionality and Serre Rings
2000 Mathematics Subject Classification: Primary 13A99; Secondary 13A15, 13B02, 13E05.This paper deals with zero-dimensionality. We investigate the problem of whether a Serre ring R <X> is expressible as a directed union of Artinian subrings.