Some homological properties of ideals with cohomological dimension one

DOI10.4064/cm6939-11-2016zbMath1390.13055arXiv1705.01594OpenAlexW2963722519MaRDI QIDQ5368829

Gholamreza Pirmohammadi, Kamal Bahmanpour, Khadijeh Ahmadi Amoli

Publication date: 10 October 2017

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01594

zbMATH Keywords

cohomological dimensionlocal cohomologyabelian categorycofinite modules

Mathematics Subject Classification ID

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

Related Items (13)

Cofiniteness of torsion functors of a pair of cofinite modules (II) ⋮ On a question of Hartshorne ⋮ Local cohomology, cofiniteness and homological functors of modules ⋮ Coartinianess of local homology modules for ideals of small dimension ⋮ On the Abelian categories of cofinite modules ⋮ Local homology, finiteness of Tor modules and cofiniteness ⋮ A new outlook on cofiniteness ⋮ Unnamed Item ⋮ A study of cofiniteness through minimal associated primes ⋮ A Note on Abelian Categories of Cofinite Modules ⋮ On the existence of maximal Cohen-Macaulay modules over Noetherian complete local rings ⋮ Cofiniteness of torsion functors of ideal transforms ⋮ Cohomological dimension, cofiniteness and abelian categories of cofinite modules

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