Artinian local cohomology modules of cofinie modules

DOI10.1142/S0219498822500293zbMath1487.13039OpenAlexW3089612189MaRDI QIDQ5073312

Kamal Bahmanpour

Publication date: 6 May 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498822500293

zbMATH Keywords

Krull dimensionabelian categorylocal cohomology modulecofinite moduleattached prime idealArtinian moduleNoetherian complete local ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Abelian categories, Grothendieck categories (18E10) Artinian rings and modules (associative rings and algebras) (16P20) Complete rings, completion (13J10)

Related Items (2)

A note on cofinite modules over Noetherian complete local rings ⋮ On the Abelian categories of cofinite modules

Cites Work

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• Properties of cofinite modules and applications to local cohomology
• Cohomological dimension of certain algebraic varieties
• On the category of cofinite modules which is Abelian
• A Note on the Artinian Cofinite Modules
• A study of cofiniteness through minimal associated primes

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