Some splitting theorems for local cohomology modules with respect to a pair of ideals

DOI10.1142/S0219498821500158zbMath1471.13042OpenAlexW2984010906WikidataQ126809596 ScholiaQ126809596MaRDI QIDQ4988201

Kazem Khashyarmanesh, Batoul Naal

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821500158

zbMATH Keywords

filter regular elementlocal cohomology with respect to a pair of ideals

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45)

Related Items (2)

Associated and attached primes of local cohomology modules over almost Dedekind domains ⋮ Some finiteness results for local cohomology modules with respect to a pair of ideals

Cites Work

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• Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes
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• Local cohomology based on a nonclosed support defined by a pair of ideals
• Cofinite modules and local cohomology
• Some splitting theorems for extension and torsion functors of local cohomology modules
• An example of an infinite set of associated primes of a local cohomology module
• On the support of local cohomology
• On endomorphism rings of local cohomology modules
• Filter regular sequences and the finiteness of local cohomology modules
• Coassociated primes

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