The reduction number of an algebra
The torsion theory and the Melkersson condition
We consider a generalization of the notion of torsion theory, which is associated with a Serre subcategory over a commutative Noetherian ring. In 2008 Aghapournahr and Melkersson investigated the question of when local cohomology modules belong to a Serre subcategory of the module category. In their study, the notion of Melkersson condition was defined as a suitable condition in local cohomology theory. One of our purposes in this paper is to show how naturally the concept of Melkersson condition...
The work of Jan-Erik Roos on the cohomology of commutative rings.
The Zariski category of graded commutative rings
The Zero-Dimensional Galois Cohomology of Witt Rings.
Théorème de Hilbert-Samuel «arithmétique»
On donne une nouvelle démonstration directe du théorème de Hilbert-Samuel arithmétique et on déduit un critère numérique pour l’existence de sections d’un fibré en droite sur une variété arithmétique de norme sup inférieure à un.
Tight closure and the Kodaira Vanishing Theorem.
Topological computation of local cohomology multiplicities.
We express the Lyubeznik numbers of the local ring of a complex isolated singularity in terms of Betti numbers of the associated real link.
Torsion äußerer Potenzen von Moduln der homologischen Dimension l.
Torsion free exterior powers of a module and their resolutions.
Torsion-free modules and syzygies.
Toward parametric Cohen-Macaulayfication of two-dimensional finite local cohomology domains.
Traces in strict Frobenius algebras and strict complete intersections.
Truncations of the ring of number-theoretic functions.
Two applications of dualizing complexes over local rings
Typical sheaves of generalized CM-Modules.