Results 151 to 160 of about 6,262,439 (184)

Finiteness properties of automorphism spaces of manifolds with finite fundamental group. [PDF]

Math Ann
Bustamante M, Krannich M, Kupers A.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

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

On the minimaxness and coatomicness of local cohomology modules

Czechoslovak Mathematical Journal, 2021
The aim of this paper is to establish some analogues of the local-global principle for local cohomology in the context of minimax and \(\mathcal{C}\)-minimax modules. Let \(R\) be a commutative Noetherian ring with identity and \(I\) an ideal of \(R\). An \(R\)-module \(X\) is called \textit{coatomic} if any proper submodule of \(X\) is contained in a ...
Hatamkhani, Marzieh, Roshan-Shekalgourabi, Hajar   +1 more
openaire   +2 more sources

Cohomological Dimension of Generalized Local Cohomology Modules

Algebra Colloquium, 2008
The study of the cohomological dimension of algebraic varieties has produced some interesting results and problems in local algebra. Let 𝔞 be an ideal of a commutative Noetherian ring R. For finitely generated R-modules M and N, the concept of cohomological dimension cd 𝔞(M, N) of M and N with respect to 𝔞 is introduced.
Amjadi, Jafar, Naghipour, Reza
openaire   +1 more source

de Rham cohomology of local cohomology modules II

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2018
Let $K$ be an algebraically closed field of characteristic zero, $R = K[x_1, \dots, x_n]$, $I$ be an ideal in $R$ and $A_n(K) = K \langle x_1, \dots, x_n, \partial_1, \dots, \partial_n\rangle$ be the $n$th Weyl algebra over $K$. For a given holonomic left $A_n(K)$-module $N$, let $\partial=\partial_1, \dots, \partial_n$ be pairwise commuting $K$-linear
Puthenpurakal, Tony J., Reddy, Rakesh B. T.   +1 more
openaire   +1 more source

A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules

Algebra Colloquium, 2009
The first part of this paper is concerned with the Artinianness of certain local cohomology modules [Formula: see text] when M is a Matlis reflexive module over a commutative Noetherian complete local ring R and 𝔞 is an ideal of R. Also, we characterize the set of attached prime ideals of [Formula: see text], where n is the dimension of M.
Khashyarmanesh, K., Khosh-Ahang, F.
openaire   +2 more sources

Artinian local cohomology modules of cofinie modules

Journal of Algebra and Its Applications, 2020
Let [Formula: see text] be a commutative Noetherian complete local ring and [Formula: see text] be a proper ideal of [Formula: see text]. Suppose that [Formula: see text] is a nonzero [Formula: see text]-cofinite [Formula: see text]-module of Krull dimension [Formula: see text].
openaire   +1 more source

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

Top formal local cohomology module

Periodica Mathematica Hungarica, 2018
Let I be an ideal of a local commutative noetherian ring ( $$R, {{\mathfrak {m}}}$$ ) and M a finitely generated R-module. We study some properties of the top formal local cohomology module
Tran Tuan Nam, Tu Hoang Huy Nguyen, Tri Minh Nguyen 0002   +2 more
openaire   +2 more sources