Top Local Cohomology and the Catenaricity of the Unmixed Support of a Finitely Generated Module

DOI10.1080/00927870601169366zbMath1117.13018arXivmath/0701675OpenAlexW2594761613MaRDI QIDQ3446662

Le Thanh Nhan, Nguyen Tu Cuong, Nguyen Thi Dung

Publication date: 19 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0701675

Mathematics Subject Classification ID

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

Related Items (14)

On shifted principles for attached primes of the top local cohomology modules ⋮ Some results on Artinian cofinite top local cohomology modules ⋮ Unnamed Item ⋮ Some characterizations of pseudo Cohen–Macaulay modules ⋮ On the top local cohomology modules ⋮ On shifted principles of generalized local cohomology modules ⋮ Some properties of Artinian modules and applications ⋮ Vanishing Properties of Dual Bass Numbers ⋮ On pseudo supports and non-Cohen-Macaulay locus of finitely generated modules ⋮ On the condition Going up for \({R \subset \hat{R}}\) ⋮ Dual Bass Numbers and Co-Cohen Macaulay Modules ⋮ On the Catenaricity of Noetherian Local Rings and Quasi Unmixed Artinian Modules ⋮ On the unmixedness and universal catenaricity of local rings and local cohomology modules ⋮ On the Attached Primes and Shifted Localization Principle for Local Cohomology Modules

Cites Work

• A particular class of regular domains
• Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
• KRULL DIMENSION FOR ARTINIAN MODULES OVER QUASI LOCAL COMMUTATIVE RINGS
• Co-cohen-macaulay modules and modules of generalized fractions
• DIMENSION AND LENGTH FOR ARTINIAN MODULES
• ARTINIAN MODULES AND HILBERT POLYNOMIALS

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