A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules

DOI10.1142/S1005386709000480zbMath1174.13026OpenAlexW2097615960MaRDI QIDQ5322276

Kazem Khashyarmanesh, Fahimeh Khosh-Ahang Ghasr

Publication date: 20 July 2009

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

Full work available at URL: https://doi.org/10.1142/s1005386709000480

zbMATH Keywords

local cohomology module: Matlis reflextive module

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Cites Work

• Unnamed Item
• A vanishing theorem for local cohomology modules
• On the vanishing of local cohomology modules
• On the generalized local cohomology and its duality
• Attached primes of the top local cohomology modules with respect to an ideal
• A common generalization of local cohomology theories
• Secondary representations for injective modules over commutative Noetherian rings
• Co-cohen-macaulay modules and modules of generalized fractions
• The Koszul Complex and Duality
• ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY MODULES
• On Vanishing of Generalized Local Cohomology Modules
• A Surjective Homomorphism from Ordinary Local Cohomology Modules to Top Generalized Local Cohomology Modules
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES
• GENERALIZED KOSZUL COMPLEXES AND ARTINIAN MODULES

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