DUAL OF FALTINGS’ THEOREMS ON FINITENESS OF LOCAL COHOMOLOGY

DOI10.17654/NT040050799zbMath1439.13043arXiv1711.01579OpenAlexW2962701306WikidataQ129010487 ScholiaQ129010487MaRDI QIDQ5229602

Marziyeh Hatamkhani

Publication date: 16 August 2019

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01579

zbMATH Keywords

local cohomology modulesMatlis dualitylocal homology modulesfiniteness dimensionArtinianness dimension

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• Unnamed Item
• Matlis duality and the width of a module
• Der Endlichkeitssatz in der lokalen Kohomologie
• Derived functors of \(I\)-adic completion and local homology
• Über die Annulatoren lokaler Kohomologiegruppen
• Co-localization, co-support and local homology
• The I-adic completion and local homology for Artinian modules
• Local homology theory for artinian modules
• Coassociated primes
• Local homology and cohomology on schemes
• The Koszul Complex and Duality
• A finiteness result for associated primes of local cohomology modules
• Faltings’ theorem for the annihilation of local cohomology modules over a Gorenstein ring
• ON THE VANISHING OF LOCAL HOMOLOGY MODULES

This page was built for publication: DUAL OF FALTINGS’ THEOREMS ON FINITENESS OF LOCAL COHOMOLOGY