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Finiteness of local homology modules

Shahram Rezaei (2020)

Archivum Mathematicum

Let $I$ be an ideal of Noetherian ring $R$ and $M$ a finitely generated $R$ -module. In this paper, we introduce the concept of weakly colaskerian modules and by using this concept, we give some vanishing and finiteness results for local homology modules. Let $I_{M} : = {Ann}_{R} (M / I M)$ , we will prove that for any integer $n$ If ...

Finiteness properties of local cohomology modules (an application of D-modules to Commutative Algebra).

Gennady Lyubeznik (1993)

Inventiones mathematicae

F-modules: applications to local cohomology and D-modules in characteristic p>0.

Gennady Lyubeznik (1997)

Journal für die reine und angewandte Mathematik

Formes d'inertie et complexe de Koszul associés à des polynômes plurihomogènes.

Azzouz Awane, Abdelouahab Chkiriba, Michel Goze (2005)

Revista Matemática Complutense

The existence of common zero of a family of polynomials has led to the study of inertial forms, whose homogeneous part of degree 0 constitutes the ideal resultant. The Kozsul and Cech cohomologies groups play a fundamental role in this study. An analogueous of Hurwitz theorem is given, and also, one finds a N. H. McCoy theorem in a particular case of this study.

Displaying 1 – 4 of 4

Finiteness of local homology modules

Finiteness properties of local cohomology modules (an application of D-modules to Commutative Algebra).

F-modules: applications to local cohomology and D-modules in characteristic p&gt;0.

Formes d'inertie et complexe de Koszul associés à des polynômes plurihomogènes.

Currently displaying 1 – 4 of 4

F-modules: applications to local cohomology and D-modules in characteristic p>0.