Cohomological Dimension of Generalized Local Cohomology Modules

DOI10.1142/S1005386708000278zbMath1151.13013OpenAlexW2136856932MaRDI QIDQ3521685

Reza Naghipour, Jafar Amjadi

Publication date: 26 August 2008

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

Full work available at URL: https://doi.org/10.1142/s1005386708000278

zbMATH Keywords

projective dimensioncohomological dimensionlocal cohomologyfinitely generated module

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Projective and free modules and ideals in commutative rings (13C10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (9)

UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Some results on top generalized local cohomology modules with respect to a system of ideals ⋮ Finiteness of graded generalized local cohomology modules ⋮ Unnamed Item ⋮ ATTACHED PRIMES OF THE TOP GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ On minimax modules and generalized local cohomology with respect to a pair of ideals ⋮ Cohomological dimensions with respect to sum and intersection of ideals ⋮ On non Artinian cofinite generalized local cohomology modules ⋮ Filter regular sequences and generalized local cohomology modules

Cites Work

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• On the vanishing of local cohomology modules
• Local cohomological dimension of algebraic varieties
• Cohomological dimension of algebraic varieties
• A common generalization of local cohomology theories
• Cohomological dimension of certain algebraic varieties

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