On The Finiteness and Stability of Certain Sets of Associated Prime Ideals of Local Cohomology Modules

DOI10.1080/00927872.2012.749262zbMath1291.13030arXiv1211.1477OpenAlexW2121367750MaRDI QIDQ5413995

Nguyen Van Hoang, Nguyen Tu Cuong

Publication date: 2 May 2014

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

Full work available at URL: https://arxiv.org/abs/1211.1477

zbMATH Keywords

local cohomologyassociated primegeneralized local cohomology\(N\)-sequence in dimension \(>k\)

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• On the vanishing and the finiteness of supports of generalized local cohomology modules
• 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
• The f-depth of an ideal on a module
• Asymptotic Stability of Certain Sets of Associated Prime Ideals of Local Cohomology Modules
• Bass Numbers of Local Cohomology Modules
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• A Finiteness Result for Associated Primes of Certain Ext-Modules
• A common generalization of local cohomology theories
• Verallgemeinerte COHEN-MACAULAY-Moduln
• The asymptotic nature of the analytic spread
• A finiteness result for associated primes of local cohomology modules
• ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES
• On the associated primes of local cohomology modules
• The associated primes of local cohomology modules over rings of small dimension

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