Results 71 to 80 of about 101 (88)

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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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cofiniteness of Generalized Local Cohomology Modules for One-Dimensional Ideals

Canadian Mathematical Bulletin, 2012
Kamran Divaani-Aazar
exaly  

Associated Primes of Graded Components of Generalized Local Cohomology Modules

Communications in Algebra, 2005
Kazem Khashyarmanesh
exaly  

On Generalized Regular Sequences and the Finiteness for Associated Primes of Local Cohomology Modules

Communications in Algebra, 2005
Lê Thị Thanh Nhàn
exaly  

Some Properties of Generalized Local Cohomology Modules With Respect to a Pair of Ideals

International Journal of Algebra and Computation, 2014
Nguyen Minh Tri, Tran Tuan Nam
exaly  

On Vanishing and Cofiniteness of Generalized Local Cohomology Modules

Communications in Algebra, 2009
Seyed Hamid Hassanzadeh, Alireza Vahidi
exaly