Cohen–Macaulay Loci of Modules

DOI10.1080/00927872.2010.510814zbMath1234.13014arXiv1007.2508OpenAlexW2035447471MaRDI QIDQ3113824

Raheleh Jafari, Mohammad T. Dibaei

Publication date: 25 January 2012

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

Full work available at URL: https://arxiv.org/abs/1007.2508

zbMATH Keywords

local cohomologyCousin complexesCohen-Macaulay locusuniform local cohomological annihilator

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14) Theory of modules and ideals in commutative rings (13C99)

Related Items (6)

Noetherian Dimension and Co-localization of Artinian Modules over Local Rings ⋮ Some results on the cofiniteness and annihilators of local cohomology modules ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ Openness of various loci over Noetherian rings ⋮ Attached primes of local cohomology modules and structure of Noetherian local rings ⋮ Non-Cohen-Macaulay Locus and Non Generalized Cohen-Macaulay Locus

Cites Work

• Uniform annihilators of local cohomology
• Local cohomology and the Cousin complex for a commutative Noetherian ring
• The Cousin complex for a module over a commutative Noetherian ring
• Gorenstein modules
• Cousin complexes and flat ring extensions
• Open loci of graded modules
• Cousin Complexes and Generalized Hughes Complexes
• A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES
• Finiteness of cousin cohomologies
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES

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