Noetherian Dimension and Co-localization of Artinian Modules over Local Rings

DOI10.1142/S1005386714000613zbMath1307.13012OpenAlexW2137969130MaRDI QIDQ2928450

Le Thanh Nhan, Tran Do Minh Chau

Publication date: 7 November 2014

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

Full work available at URL: https://doi.org/10.1142/s1005386714000613

zbMATH Keywords

local cohomologyattached primessecondary representationsco-localization functor

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Integral dependence in commutative rings; going up, going down (13B21) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Complete rings, completion (13J10)

Related Items (4)

On shifted principles for attached primes of the top local cohomology modules ⋮ Some results on Artinian cofinite top local cohomology modules ⋮ On the top local cohomology modules ⋮ Dimension of non-finitely generated submodules

Cites Work

• On the condition Going up for \({R \subset \hat{R}}\)
• A particular class of regular domains
• Cofinite modules and local cohomology
• Co-localization, co-support and local homology
• On the unmixedness and universal catenaricity of local rings and local cohomology modules
• Cohen–Macaulay Loci of Modules
• Some Results on the Vanishing of Local Cohomology Modules
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• On the dimension and multiplicity of local cohomology modules
• The co-localization of an Artinian module
• DIMENSION AND LENGTH FOR ARTINIAN MODULES
• ARTINIAN MODULES AND HILBERT POLYNOMIALS
• On representable linearly compact modules

This page was built for publication: Noetherian Dimension and Co-localization of Artinian Modules over Local Rings