Top Local Cohomology Modules

DOI10.1142/S1005386707000211zbMath1114.13014OpenAlexW1973460459MaRDI QIDQ5297769

Mohammad T. Dibaei, Siamak Yassemi

Publication date: 13 July 2007

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

Full work available at URL: http://www.worldscinet.com/ac/14/1402/S1005386707000211.html

zbMATH Keywords

cohomological dimensionLichtenbaum-Hartshorne vanishing theoremattached primes

Mathematics Subject Classification ID

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

Related Items (12)

Characterization of some special rings via Linkage ⋮ Vanishing of the top local cohomology modules over noetherian rings ⋮ Some Rigidity Results for Highest Order Local Cohomology Modules ⋮ Unnamed Item ⋮ Artinian cofinite modules and going-up for \(R\subseteq \widehat {R}\) ⋮ Attached and associated primes of local cohomology modules via linkage ⋮ Local cohomology and Serre subcategories ⋮ Artinianness and Attached Primes of Formal Local Cohomology Modules ⋮ A Note on the Artinian Cofinite Modules ⋮ ATTACHED PRIMES OF THE TOP GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES ⋮ Some results on top local cohomology and top formal local cohomology modules

Cites Work

• On local cohomology modules
• Local cohomology and the Cousin complex for a commutative Noetherian ring
• Attached primes of the top local cohomology modules with respect to an ideal
• Cohomological dimension of algebraic varieties
• Cohomological dimension of certain algebraic varieties
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES

This page was built for publication: Top Local Cohomology Modules