A note on the associated primes of local cohomology modules for regular local rings

DOI10.3906/mat-1602-67zbMath1424.13026OpenAlexW2893864960MaRDI QIDQ5742842

Yu-Bin Gao

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1602-67

zbMATH Keywords

associated primeslocal cohomology modulesregular local rings

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Regular local rings (13H05)

Cites Work

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• Local cohomology modules of a smooth \(\mathbb{Z}\)-algebra have finitely many associated primes
• Associated primes of local cohomology modules and Matlis duality
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• \(p\)-torsion elements in local cohomology modules
• An example of an infinite set of associated primes of a local cohomology module
• Affine duality and cofiniteness
• Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: the unramified case
• Bass Numbers of Local Cohomology Modules
• On the set of associated primes of a local cohomology module
• The associated primes of local cohomology modules over rings of small dimension

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