On the Artinianness of Graded Local Cohomology Modules

DOI10.1142/S1005386710000660zbMath1200.13027OpenAlexW2043036223MaRDI QIDQ3162658

Lizhong Chu

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/S1005386710000660.html

zbMATH Keywords

Artinian modulesminimax modulesgraded local cohomology modulescoartinian modules

Mathematics Subject Classification ID

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

Cites Work

• Minimax-Moduln. (Minimax modules)
• On the maximality condition for radically full submodules
• Cohomological patterns of coherent sheaves over projective schemes
• Some properties of graded local cohomology modules
• Modules cofinite with respect to an ideal
• Associated primes and cofiniteness of local cohomology modules
• Affine duality and cofiniteness
• Artinianess of graded local cohomology modules
• Co-support and Coartinian Modules
• Local cohomology over homogeneous rings with one-dimensional local base ring
• ARTINIAN MODULES AND HILBERT POLYNOMIALS