Cofiniteness of Local Cohomology Modules
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Publication:2928444
DOI10.1142/S1005386714000558zbMath1316.13023arXiv1308.6040OpenAlexW2083066526MaRDI QIDQ2928444
Monireh Sedghi, Kamal Bahmanpour, Reza Naghipour
Publication date: 7 November 2014
Published in: Algebra Colloquium (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.6040
Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)
Related Items (4)
Some results on the cofiniteness and annihilators of local cohomology modules ⋮ General local cohomology modules with small dimensions ⋮ A new proof of Faltings' local-global principle for the finiteness of local cohomology modules ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology modules
Cites Work
- Associated primes of local cohomology modules and Matlis duality
- Cofiniteness of local cohomology modules for ideals of small dimension
- Minimax-Moduln. (Minimax modules)
- On the maximality condition for radically full submodules
- Some theorems about formal functions
- Cofinite modules and local cohomology
- On annihilators and associated primes of local cohomology modules
- Modules cofinite with respect to an ideal
- Affine duality and cofiniteness
- On asymptotic stability for sets of prime ideals connected with the powers of an ideal
- On the cofiniteness of local cohomology modules
- Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules
- Endlichkeitsbedingungen für Moduln über einem Noetherschen Ring
- Properties of cofinite modules and applications to local cohomology
- Proregular sequences, local cohomology, and completion
- Faltings’ theorem for the annihilation of local cohomology modules over a Gorenstein ring
- Uniform annihilation of local cohomology and of Koszul homology
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