ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES

DOI10.1081/AGB-200051137zbMath1083.13007OpenAlexW2049684880MaRDI QIDQ4682027

Le Thanh Nhan

Publication date: 9 June 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200051137

zbMATH Keywords

depthlocal cohomologygeneralized depthgeneralized regular sequencefiniteness of associated prime ideals

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (31)

THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES ⋮ Matlis Duality and Finiteness Properties of Generalized Local Cohomology Modules ⋮ Cofiniteness with respect to the class of modules in dimension less than a fixed integer ⋮ Some results on the finiteness of generalized local cohomology modules using Serre classes ⋮ On the cofiniteness of local cohomology modules ⋮ A Finiteness Result for Associated Primes of Certain Ext-Modules ⋮ General local cohomology modules with small dimensions ⋮ Generalized Regular Sequence and Finiteness of Local Cohomology Modules ⋮ Filter Rings Under Flat Base Change ⋮ Unnamed Item ⋮ On the vanishing and the finiteness of supports of generalized local cohomology modules ⋮ Unnamed Item ⋮ Local cohomology and Serre subcategories ⋮ FINITENESS PROPERTIES OF LOCAL COHOMOLOGY MODULES AND GENERALIZED REGULAR SEQUENCES ⋮ On The Finiteness and Stability of Certain Sets of Associated Prime Ideals of Local Cohomology Modules ⋮ Local rings with zero-dimensional formal fibers ⋮ Asymptotic behaviour of certain sets of associated prime ideals of Ext-modules ⋮ Cohen-Macaulayness with respect to Serre classes ⋮ On the Associated Primes and the Support of Local Cohomology Modules ⋮ Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules ⋮ Finiteness Results on Generalized Local Cohomology Modules ⋮ GeneralizedF-Modules and the Associated Primes of Local Cohomology Modules ⋮ Asymptotic Stability of Certain Sets of Associated Prime Ideals of Local Cohomology Modules ⋮ Cohen–Macaulay Modules in Dimension >s and Results on Local Cohomology ⋮ On the Finiteness Properties of U_iAss_RExt_Rⁿ(R/α^I, M) ⋮ On the Finiteness Results of the Generalized Local Cohomology Modules ⋮ Cofiniteness of local cohomology modules for ideals of small dimension ⋮ Depth of an ideal on ZD-modules ⋮ A Note on the Associated Primes of Local Cohomology Modules ⋮ A Remark on the Finiteness Dimension ⋮ ON THE BEHAVIOR OF APPLYING DERIVED FUNCTORS OF TORSION FUNCTORS ON LOCAL COHOMOLOGY MODULES

Cites Work

• Unnamed Item
• Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
• Über die Annulatoren lokaler Kohomologiegruppen
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• \(p\)-torsion elements in local cohomology modules
• An example of an infinite set of associated primes of a local cohomology module
• Some applications of a criterion for Artinianness of a module
• Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: the unramified case
• The f-depth of an ideal on a module
• Bass Numbers of Local Cohomology Modules
• Verallgemeinerte COHEN-MACAULAY-Moduln
• A finiteness result for associated primes of local cohomology modules
• On the associated primes of local cohomology modules

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