A note on the injective dimension of local cohomology modules

DOI10.1090/S0002-9939-08-09198-3zbMath1153.13015arXivmath/0703126WikidataQ114094086 ScholiaQ114094086MaRDI QIDQ3508052

Michael Hellus

Publication date: 27 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703126

zbMATH Keywords

local cohomologyinjective dimensioncofinite modulesBass formula

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45)

Related Items (9)

The finiteness dimension of local cohomology modules and its dual notion ⋮ Unnamed Item ⋮ A dichotomy for the injective dimension ofF-finiteF-modules and holonomicD-modules ⋮ When does the canonical module of a module have finite injective dimension? ⋮ Lyubeznik numbers of monomial ideals ⋮ Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness ⋮ ATTACHED PRIMES OF THE TOP GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Finiteness of Gorenstein injective dimension of modules ⋮ On the Associated Primes of Matlis Duals of Local Cohomology Modules II

Cites Work

• On the vanishing of local cohomology modules
• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Cofinite modules and local cohomology
• Cofiniteness and associated primes of local cohomology modules.
• Affine duality and cofiniteness
• Algebraic De Rham cohomology
• Some Algebraic Sets of High Local Cohomological Dimension in Projective Space
• Cofiniteness and vanishing of local cohomology modules
• Über lokale Kohomologiegruppen hoher Ordnung.
• Cofiniteness of Local Cohomology Modules for Principal Ideals
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• Cofiniteness of local cohomology modules for ideals of dimension one

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