Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness

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

zbMATH Keywords

ring of invariantsCohen-Macaulay modulescohomological dimensioncoassociated prime idealscofinite modulesformal local cohomologygeneralized local cohomologyformal grade

Mathematics Subject Classification ID

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

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