A FINITENESS RESULT FOR ATTACHED PRIMES OF ARTINIAN LOCAL COHOMOLOGY MODULES

DOI10.1142/S0219498813500631zbMath1297.13022OpenAlexW2073113943MaRDI QIDQ5746951

Le Thanh Nhan, Nguyen Van Hoang

Publication date: 11 February 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813500631

zbMATH Keywords

local cohomology modulesArtinian modulesattached primesstrict M-sequence in dimension \(>\) s

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (3)

Some results on the cofiniteness and annihilators of local cohomology modules ⋮ On the sequential polynomial type of modules ⋮ A Finiteness Result for Attached Primes of Certain Tor-Modules

Cites Work

• The finiteness of certain sets of attached prime ideals and the length of generalized fractions.
• An example of an infinite set of associated primes of a local cohomology module
• A Finiteness Result for Associated Primes of Certain Ext-Modules
• Asymptotic Behaviour of Certain Sets of Attached Prime Ideals
• Some Results on the Vanishing of Local Cohomology Modules
• On the dimension and multiplicity of local cohomology modules

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