Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness
From MaRDI portal
Publication:3015088
DOI10.1080/00927871003610312zbMath1237.13034arXiv0807.5042OpenAlexW2111043025MaRDI QIDQ3015088
Mohsen Asgharzadeh, Kamran Divaani-Aazar
Publication date: 8 July 2011
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.5042
ring of invariantsCohen-Macaulay modulescohomological dimensioncoassociated prime idealscofinite modulesformal local cohomologygeneralized local cohomologyformal grade
Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14)
Related Items (20)
TOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES ⋮ On formal local cohomology modules with respect to a pair of ideals ⋮ Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals ⋮ Some results on formal local cohomology ⋮ A unified approach to formal local cohomology and local Tate cohomology ⋮ Finiteness properties of formal local homology modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On cohomological dimension and depth under linkage ⋮ FINITENESS PROPERTIES OF FORMAL LOCAL COHOMOLOGY MODULES ⋮ Colocalization of formal local cohomology modules ⋮ General formal local cohomology modules ⋮ Artinianness and Attached Primes of Formal Local Cohomology Modules ⋮ Artinianness of formal local cohomology modules ⋮ A finite result for the set of associated prime ideals of formal local cohomology modules ⋮ Castelnuovo–Mumford Regularity and Cohomological Dimension ⋮ Some results on top local cohomology and top formal local cohomology modules
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
- On cohomologically complete intersections
- Local cohomological dimension of algebraic varieties
- The Hochster-Roberts theorem of invariant theory
- Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
- Krull's intersection theorem in case of small submodules
- Cofinite modules and local cohomology
- The finiteness dimension of local cohomology modules and its dual notion
- On formal local cohomology and connectedness
- Bass Numbers of Local Cohomology Modules
- A note on the injective dimension of local cohomology modules
- A common generalization of local cohomology theories
- Cofiniteness and vanishing of local cohomology modules
- Properties of cofinite modules and applications to local cohomology
- Cofiniteness of Local Cohomology Modules for Principal Ideals
- Cofiniteness of local cohomology modules for ideals of dimension one
- Cohomological dimension of certain algebraic varieties
- Cofiniteness of generalized local cohomology modules
- On the Associated Primes of Matlis Duals of Top Local Cohomology Modules
- Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
This page was built for publication: Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness