Results 61 to 70 of about 95 (86)

Cofiniteness of generalized local cohomology modules

Journal of Algebra and Its Applications
Let [Formula: see text] be an ideal of a commutative noetherian ring [Formula: see text] and [Formula: see text] two [Formula: see text]-modules with [Formula: see text] finitely generated. It is shown that if either [Formula: see text] is an [Formula: see text]-cofinite module of dimension [Formula: see text] for all [Formula: see text], or [Formula ...
Jingwen Shen, Xiaoyan Yang
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Cominimaxness of generalized local cohomology modules

Bulletin of the Belgian Mathematical Society - Simon Stevin
This paper investigates the finiteness properties of generalized local cohomology modules. Let \(R\) be a commutative Noetherian ring with identity, and \(\mathfrak{a}\) an ideal of \(R\). For two \(R\)-modules \(X\) and \(Y,\) and an integer \(i\geq 0\), the \(i\)th \textit{generalized local cohomology} module of \(X\) and \(Y\) with respect to ...
Roshan-Shekalgourabi, Hajar, Hassanzadeh-Lelekaami, Dawood   +1 more
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Generalized Regular Sequence and Finiteness of Local Cohomology Modules

Algebra Colloquium, 2008
Let R be a commutative Noetherian local ring, 𝔞 an ideal of R, and M a finitely generated generalized f-module. Let t be a positive integer such that [Formula: see text] and t > dim M - dim M/𝔞M. In this paper, we prove that there exists an ideal 𝔟 ⊇ 𝔞 such that (1) dim M - dim M/𝔟M = t; and (2) the natural homomorphism [Formula: see text] is an ...
Mafi, A., Saremi, H.
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Non-vanishing and cofiniteness of generalized local cohomology modules

Periodica Mathematica Hungarica
The ambient category is that of finitely generated modules over commutative Noetherian ring \(R\). \(M\) denotes a finitely generated \(R\)-module and \(I\) an ideal of \(R\), and in particular for dim\(R/I\leq 1\). For another \(R\)-module \(N\) and an integer \(i\geq 0\), the \(i\)th generalized local cohomology module of the pair \(M, N\), with ...
Tran Tuan Nam, Nguyen Minh Tri
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Local Cohomology and Maximal Generalized Modules

Asian Journal of Mathematics and Computer Research
Aims: Study of commutative algebra.Study Design: Cross-sectional study.Place and Duration of Study: University of São Paulo, August 2021 to October 2022.Methodology: Study through books and articles.Results: The article study the relation between local cohomology defined by an ideal and cohomological dimension.Conclusion: With the results of the paper,
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ON THE NON-VANISHING AND THE ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Journal of Algebra and Its Applications, 2013
We study top generalized local cohomology modules and get important properties about the vanishing, non-vanishing and the artinianness of generalized local cohomology modules.
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On the Artinian Property of Certain General Local Cohomology Modules

Journal of the London Mathematical Society, 1985
Let A be a commutative Noetherian local ring with Krull dimension n. \textit{R. Y. Sharp} [Proc. Edinb. Math. Soc., II. Ser. 24, 9-14 (1981; Zbl 0483.13007)] has proved that \(H^ n_ a(A)\), the n-th local cohomology module of A with respect to the ideal a, is an Artinian A-module.
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General local cohomology modules and Faltings' local-global principles

Summary: In this article, we study the local-global principles for the Artinianness of ordinary local cohomology modules and the finiteness of general local cohomology modules. Let \(R\) be a Noetherian ring, \(\Phi\) be a system of ideals of \(R\) and \(N\) be an \(R\)-module. Assume that \(\mathcal{S}\) is a Serre subcategory of Mod\((R)\) satisfying
Sadeghi, MirYousef, Amoli, Khadijeh Ahmadi, Fazel, Reza Arian   +2 more
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Co-Cohen-Macaulay Modules and Generalized Local Cohomology

Algebra Colloquium, 2011
Let (R,𝔪) be a Noetherian local ring, 𝔞 a proper ideal of R, and M, N two finitely generated R-modules of finite projective dimension m and of finite dimension n, respectively. It is shown that if n ≤ 2, then the generalized local cohomology module [Formula: see text] is a co-Cohen-Macaulay module.
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Non-finitely generated bigraded local cohomology modules

Czechoslovak Mathematical Journal
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