The finiteness of certain sets of attached prime ideals and the length of generalized fractions.

DOI10.1016/j.jpaa.2003.11.006zbMath1094.13024OpenAlexW2030865657MaRDI QIDQ1434767

Nguyen Tu Cuong, Le Thanh Nhan, Marcel Morales

Publication date: 12 July 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.11.006

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (12)

F-stable secondary representations and deformation of F-injectivity ⋮ On birational Macaulayfications and Cohen-Macaulay canonical modules ⋮ A measure of non-sequential Cohen-Macaulayness of finitely generated modules ⋮ Co-Cohen-Macaulay modules and local cohomology ⋮ On the uniform bound of reducibility index of parameter ideals of idealizations ⋮ On the partial Euler-Poincaré characteristics of Koszul complexes of idealization ⋮ Filter regular sequence under small perturbations ⋮ On canonical Cohen-Macaulay modules ⋮ Non Cohen-Macaulay locus of canonical modules ⋮ A FINITENESS RESULT FOR ATTACHED PRIMES OF ARTINIAN LOCAL COHOMOLOGY MODULES ⋮ FROBENIUS ACTIONS ON LOCAL COHOMOLOGY MODULES AND DEFORMATION ⋮ On Generalized Cohen–Macaulay Canonical Modules

Cites Work

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• Lengths of certain generalized fractions
• On the length of generalized fractions.
• Pseudo Cohen-Macaulay and pseudo generalized Cohen-Macaulay modules.
• An example of an infinite set of associated primes of a local cohomology module
• Local cohomology and modules of generalized fractions
• Asymptotic Behaviour of Certain Sets of Attached Prime Ideals
• Modules of generalized fractions
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Lengths of generalized fractions of modules having small polynomial type

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