Results 191 to 200 of about 6,123,729 (220)

Cofiniteness of Local Cohomology Modules

Algebra Colloquium, 2014
Let M be a non-zero finitely generated module over a commutative Noetherian local ring (R, 𝔪). In this paper we consider when the local cohomology modules are finitely generated. It is shown that if t ≥ 0 is an integer and [Formula: see text], then [Formula: see text] is not 𝔭-cofinite.
Bahmanpour, Kamal, Naghipour, Reza, Sedghi, Monireh   +2 more
openaire   +2 more sources

Top Local Cohomology Modules

Algebra Colloquium, 2007
For a finitely generated module M over a commutative Noetherian local ring (R,𝔪), it is shown that there exist only a finite number of non-isomorphic top local cohomology modules [Formula: see text] for all ideals 𝔞 of R. It is also shown that for a given integer r ≥ 0, if [Formula: see text] is zero for all 𝔭 in Supp (M), then [Formula: see text] for
Dibaei, Mohammad T., Yassemi, Siamak
openaire   +2 more sources

LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX

International Journal of Geometric Methods in Modern Physics, 2008
The differential forms on the jet bundle J∞E of a bundle E → M over a compact n-manifold M of degree greater than n determine differential forms on the space Γ(E) of sections of E. The forms obtained in this way are called local forms on Γ(E), and its cohomology is called the local cohomology of Γ(E).
openaire   +2 more sources

Noetherianness and Local Cohomology Modules

Algebra Colloquium, 2012
Let R be a commutative Noetherian ring, 𝔞 an ideal of R, and M an R-module. We show that, whenever [Formula: see text], M is Noetherian if and only if there exists a submodule N of M such that the R-modules M/𝔞 N and [Formula: see text] are Noetherian.
openaire   +1 more source

A Note on Local Cohomology

Journal of the London Mathematical Society, 1975
openaire   +1 more source

Local cohomology and Serre subcategories

Journal of Algebra, 2008
Moharram Aghapournahr
exaly  

Finiteness properties of local cohomology modules (an application ofD-modules to commutative algebra)

Inventiones Mathematicae, 1993
Gennady Lyubeznik
exaly  

Local cohomology

2007
Srikanth Iyengar, Graham Leuschke, Anton Leykin, Claudia Miller, Ezra Miller, Anurag Singh, Uli Walther   +6 more
openaire   +1 more source

Cohomology of partially ordered sets and local cohomology of section rings

Advances in Mathematics, 2007
Winfried Bruns, Tim Romer
exaly  

Depth and the local cohomology of -modules

Advances in Mathematics, 2018
Liping Li, Eric Ramos
exaly