Results 91 to 100 of about 6,262,439 (184)

On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory

open access: yesJournal of Mathematical Extension, 2013
This paper is concerned with the relation between local cohomology modules defined by a pair of ideals and Serre classes of R-modules. Let R be a commutative Noetherian ring, I , J be two ideals of R and M be an R-module. Let a ∈ W˜ (I, J) and t ∈ N0
Kh. Ahmadi-Amoli∗, M. Y. Sadeghi
doaj  

General formal local cohomology modules

open access: yes, 2020
Let (R,m) be a local ring, Ф a system of ideals of R and M a finitely generated R-module. In this paper, we define and study general formal local cohomology modules.
Rezaei Sh.
core   +1 more source

de Rham Cohomology of Local Cohomology Modules

open access: yes, 2016
Let K be a field of characteristic zero and let \(\mathcal {O}_n\) be the ring \(K[[X_1,\ldots ,X_n]]\). Let \(\mathcal {D}_n = \mathcal {O}_n[\partial _1,\ldots ,\partial _n]\) be the ring of K-linear differential operators on \(\mathcal {O}_n\). Let M be a holonomic \(\mathcal {D}_n\)-module. In this paper we prove \(H^i({\partial }, M) = 0\) for \(i
openaire   +3 more sources

On some local cohomology modules

open access: yesAdvances in Mathematics, 2007
Let R be a commutative Noetherian d-dimensional complete equicharacterisitc regular local ring and let I be an ideal of R such that every minimal prime over I has height at most c. Let v=d - [(d-2)/c]-1 and v'=d - [(d-1)/c]. It has been known that the i-th local cohomology module of any R-module M with support in I vanishes for i>v', and if I is ...
openaire   +2 more sources

Finiteness properties of local cohomology modules

open access: yes, 2022
Local cohomology modules are one of the central objects in commutative algebra. However, the structure of these modules is still full of mystery. Lyubeznik conjectured that the number of associated primes and all the Bass numbers of local cohomology ...
Quingles Daví, Guillem
core  

Symplectic Bott-Chern cohomology of solvmanifolds [PDF]

open access: yes, 2013
We study the symplectic Bott-Chern cohomology by L.-S. Tseng and S.-T.
Daniele Angella   +3 more
core  

The volumes of Miyauchi subgroups. [PDF]

open access: yesArch Math, 2022
Lesesvre D, Petrow I.
europepmc   +1 more source

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