Results 11 to 20 of about 101 (88)
On Vanishing of Generalized Local Cohomology Modules [PDF]
Algebra Colloquium, 2005 Let [Formula: see text] denote an ideal of a d-dimensional Gorenstein local ring R, and M and N two finitely generated R-modules with pd M < ∞. It is shown that [Formula: see text] if and only if [Formula: see text] for all [Formula: see text].
Divaani-Aazar, K. +2 more
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A generalization of the finiteness problem of the local cohomology modules [PDF]
Czechoslovak Mathematical Journal, 2014 This paper is in the series of works which study the finiteness of the associated prime of local cohomology modules \(H^i_{\mathfrak {a}}(M)\), where \(\mathfrak {a}\) is an ideal of a commutative Noetherian ring \(R\) and \(M\) is an \(R\)-module. In general Ass\((H^i_{\mathfrak {a}}(M))\) is not finite for any \(i\), \(\mathfrak {a}\) and \(M\), e.g.
Abbasi, Ahmad +1 more
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Matlis reflexive and generalized local cohomology modules [PDF]
Czechoslovak Mathematical Journal, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Shifted Principles of Generalized Local Cohomology Modules
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
de Freitas, Thiago Henrique +1 more
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General formal local cohomology modules [PDF]
Algebra and Discrete Mathematics, 2020 Let (R,m) be a local ring, Φ 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. We denote the ith general formal local cohomology module M with respect to Φ by FiΦ(M) and we investigate some finiteness and Artinianness properties of general formal local cohomology ...
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Cofiniteness of generalized local cohomology modules [PDF]
Colloquium Mathematicum, 2004 Let $\fa$ denote an ideal of a commutative Noetherian ring $R$ and $M$ and $N$ two finitely generated $R$-modules with $\pd M< \infty$. It is shown that if $\fa$ is principal or $R$ is complete local and $\fa$ a prime ideal with $\dim R/\fa=1$, then the generalized local cohomology module $H^i_{\fa}(M,N)$ is $\fa$-cofinite for all $i \geq 0$.
Divaani-Aazar, Kamran, Sazeedeh, Reza
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On the cominimaxness of generalized local cohomology modules
Science and Technology Development Journal, 2020 The local cohomology theory plays an important role in commutative algebra and algebraic geometry. The I-cofiniteness of local cohomology modules is one of interesting properties which has been studied by many mathematicians. The I-cominimax modules is an extension of I-cofinite modules which was introduced by Hartshorne.
Tri Minh Nguyen, Cam Thi Hong Bui
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FINITENESS DIMENSIONS AND COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Mathematical Reports, 2023 Let R be a commutative Noetherian ring with non-zero identity, a an ideal of R, M a nite R-module, and n a non-negative integer. In this paper, for an arbitrary R-module X which is not necessarily nite, we prove the following results: (i) fn a (M;X ...
Vahidi, Alireza +2 more
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Non‐Geometric T‐Duality as Higher Groupoid Bundles With Connections
Fortschritte der Physik, Volume 74, Issue 10, October 2026.This paper describes T‐duality between geometric and non‐geometric backgrounds using spans of higher groupoid bundles with adjusted connections. This framework incorporates explicit metric formulas, scalar fields, and Q$Q$‐fluxes. The resulting model reproduces key literature examples while maintaining covariance under the full T‐duality group O(n,n;Z)$
Hyungrok Kim, Christian Saemann
wiley +1 more source
On the cofiniteness of generalized local cohomology modules
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020 Let \(R\) be a commutative noetherian ring, \(\mathfrak{a}\) an ideal of \(R\), and \(M\) and \(N\) two \(R\)-modules. Herzog defined the \(i\)th generalized local cohomology module of \(M\) and \(N\) with respect to \(\mathfrak{a}\) as follows: \[H^{i}_{\mathfrak{a}}(M,N) = \underset{n\in \mathbb{N}}\varinjlim \operatorname{Ext}^{i}_{R}(M/\mathfrak{a}^
Vahdanipour, Farzaneh +2 more
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