ARITHMETIC RANK, COHOMOLOGICAL DIMENSION AND FILTER REGULAR SEQUENCES

DOI10.1142/S0219498809003692zbMath1183.13026MaRDI QIDQ5851767

Ali Akbar Mehrvarz, Kamal Bahmanpour, Reza Naghipour

Publication date: 25 January 2010

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

zbMATH Keywords

cohomological dimensionlocal cohomologyfilter regular sequencearithmetic rank

Mathematics Subject Classification ID

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

Related Items (10)

Generalization of the Lichtenbaum–Hartshorne Vanishing Theorem ⋮ A NOTE ON COHOMOLOGICAL DIMENSION OVER COHEN-MACAULAY RINGS ⋮ On the Abelian categories of cofinite modules ⋮ Cohomological dimension of DG-modules ⋮ A short Note on prime submodules ⋮ Unnamed Item ⋮ A Note on the Artinian Cofinite Modules ⋮ On the cofiniteness of Artinian local cohomology modules ⋮ A Note on Cofinite Modules ⋮ FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES

Cites Work

• Unnamed Item
• On the vanishing of local cohomology modules
• Cofiniteness of local cohomology modules for ideals of small dimension
• Every algebraic set in n-space is the intersection of n hypersurfaces
• Über die Anzahl der Erzeugenden eines Ideals in einem Noetherschen Ring
• Cohomological dimension of algebraic varieties
• Affine duality and cofiniteness
• Bemerkung zu einem Satz von M. Kneser
• Matlis Duals of Top Local Cohomology Modules and the Arithmetic Rank of an Ideal
• The Number of Defining Equations of Affine Algebraic Sets
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Cohomological dimension of certain algebraic varieties
• Absolutely superficial sequences
• Matlis duals of top Local cohomology modules

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