A Note on the Artinian Cofinite Modules

DOI10.1080/00927872.2012.737077zbMath1291.13028OpenAlexW1980616584MaRDI QIDQ5412032

Kamal Bahmanpour, Nemat Abazari

Publication date: 25 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.737077

zbMATH Keywords

integral extensioncofinite modulecomplete local ringattached primeArtinian modulecatenary ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items

Artinian cofinite top local cohomology modules on derived category, Artinian local cohomology modules of cofinie modules, Unnamed Item, A note on cofinite modules over Noetherian complete local rings, Attached primes of local cohomology modules of complexes, Some properties of Artinian modules and applications, Unnamed Item, A note on Lynch’s conjecture, Cohomological dimension, cofiniteness and abelian categories of cofinite modules

Cites Work

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• Cofiniteness of local cohomology modules for ideals of small dimension
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• ARITHMETIC RANK, COHOMOLOGICAL DIMENSION AND FILTER REGULAR SEQUENCES