Results 151 to 160 of about 5,350,013 (268)

Finiteness Properties of Local Cohomology. [PDF]

, 2013
Local cohomology modules have played an important role in commutative algebra. These modules are usually not finitely generated; however, they have finiteness properties over local regular rings of equal characteristic.
Nunez-Betancourt, Luis Cristobal
core  

Local vanishing of characteristic cohomology

Duke Mathematical Journal, 2000
The paper contains several relevant results on the local vanishing of characteristic cohomology associated to a smooth manifold \(M\) [cf. \textit{R. L. Bryant} and \textit{P. A. Griffiths}, J. Am. Math. Soc. 8, No. 3, 507-596 (1995; Zbl 0845.58004)].
openaire   +3 more sources

Relationships Among Hilbert-Samuel Multiplicities, Koszul Cohomology, and Local Cohomology [PDF]

, 2018
We consider relationships among Hilbert-Samuel multiplicities, Koszul cohomology, and local cohomology. In particular, we investigate upper and lower bounds on the ratio e(I,M)/l(M/IM) for m-primary ideals I of the local ring (R,m) and finitely generated
Klein, Patricia
core  

Cohomology of Products and Coproducts of Augmented Algebras [PDF]

, 2013
Towers, Matthew
core   +1 more source

Stable Local Cohomology and Cosupport

, 2016
This dissertation consists of two parts, both under the overarching theme of resolutions over a commutative Noetherian ring R. In particular, we use complete resolutions to study stable local cohomology and cotorsion-flat resolutions to investigate ...
Thompson, Peder
core  

Local Cohomology and Group Actions. [PDF]

Suppose that k is a field of characteristic zero, X is an r by s matrix of indeterminates, where r is less than or equal to s, and R = k[X] is the polynomial ring over k in the entries of X.
Witt, Emily Elspeth
core  

Constructing arbitrary torsion elements for a local cohomology module

, 2012
Local cohomology modules are, in general, not finitely generated over the ambient ring. Towards a better understanding of the structure of these modules, Huneke (1992) [Hu] asked if they have finitely many associated prime ideals. The answer is negative.
Chan, Julian
core   +1 more source

Local Cohomology: An Algebraic Introduction with Geometric Applications

, 1998
M. Brodmann, R. Y. Sharp
semanticscholar   +1 more source

On the Galois module structure of units in met acyclic extensions [PDF]

, 1996
Let Г be a metacyclic group of order pq with p and q prime. We shall show that the Г-cohomology and character of a Г-lattice determine its genus. Let N/L be a Galois extension with group Г, then U(_N), the torsion-free units of N, is a Г-lattice and the ...
McGaul, K.Y., McGaul, Karen Yvonne
core  

Generalized Local Homology Modules of Complexes

پژوهش‌های ریاضی, 2017
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
doaj