Some results on the finiteness of generalized local cohomology modules using Serre classes

DOI10.1007/S40010-013-0081-9zbMath1325.13019OpenAlexW2053240664MaRDI QIDQ893457

Hajar Roshan Shekalgourabi, Ahmad Abbasi

Publication date: 19 November 2015

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-013-0081-9

zbMATH Keywords

Serre subcategoriescofinite modulesassociated prime idealsgeneralized local cohomology modules

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• A generalization of the finiteness problem in local cohomology modules
• Minimax-Moduln. (Minimax modules)
• On the maximality condition for radically full submodules
• Extension functors of local cohomology modules
• Some applications of a criterion for Artinianness of a module
• Affine duality and cofiniteness
• A Unified Approach to Local Cohomology Modules using Serre Classes
• Artinian Local Cohomology Modules
• Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules
• Filter Regular Sequences and Generalized Local Cohomology Modules
• A finiteness result for associated primes of local cohomology modules
• ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES
• Associated primes of local cohomology modules
• On the associated primes of local cohomology modules
• On the Artinianness of Generalized Local Cohomology

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