Some finiteness results for local cohomology modules with respect to a pair of ideals

DOI10.1134/S0001434621030020zbMath1469.13039OpenAlexW3182990082MaRDI QIDQ2037671

Batoul Naal, Kazem Khashyarmanesh

Publication date: 8 July 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621030020

zbMATH Keywords

associated prime idealsfilter regular elementlocal cohomology with respect to pair of ideals

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Cites Work

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• Some results on local cohomology modules defined by a pair of ideals
• Local cohomology based on a nonclosed support defined by a pair of ideals
• On annihilators and associated primes of local cohomology modules
• Affine duality and cofiniteness
• Bass Numbers of Local Cohomology Modules
• On the finiteness properties of extension and torsion functors of local cohomology modules
• Filter regular sequences and the finiteness of local cohomology modules
• A generalization of the cofiniteness problem in local cohomology modules
• A finiteness result for associated primes of local cohomology modules
• A FINITENESS RESULT FOR LOCAL COHOMOLOGY MODULES
• Some splitting theorems for local cohomology modules with respect to a pair of ideals

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