Matlis Duality and Finiteness Properties of Generalized Local Cohomology Modules

DOI10.1142/S1005386710000611zbMath1204.13011OpenAlexW2092961275MaRDI QIDQ3162653

Hero Saremi

Publication date: 20 October 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1704/S1005386710000611.html

zbMATH Keywords

associated primesgeneralized local cohomology moduleco-Cohen-Macaulay

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14)

Related Items (5)

Cofiniteness with respect to a Serre subcategory ⋮ On the vanishing and the finiteness of supports of generalized local cohomology modules ⋮ On the finiteness results of generalized local cohomology modules with respect to a pair of ideals ⋮ Unnamed Item ⋮ Co-Cohen-Macaulay Modules and Generalized Local Cohomology

Cites Work

• Injective modules over Noetherian rings
• On the vanishing and the finiteness of supports of generalized local cohomology modules
• An example of an infinite set of associated primes of a local cohomology module
• A Note on Local Cohomology
• On the Finiteness Results of the Generalized Local Cohomology Modules
• A common generalization of local cohomology theories
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• Verallgemeinerte COHEN-MACAULAY-Moduln
• ON THE FINITENESS PROPERTIES OF THE GENERALIZED 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
• DIMENSION AND LENGTH FOR ARTINIAN MODULES
• On the Associated Primes of Generalized Local Cohomology Modules
• The associated primes of local cohomology modules over rings of small dimension

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