Artinianness and Attached Primes of Formal Local Cohomology Modules

DOI10.1142/S1005386714000261zbMath1291.13029OpenAlexW1968551875MaRDI QIDQ5411703

Unnamed Author, Shahram Rezaei

Publication date: 25 April 2014

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386714000261

zbMATH Keywords

local cohomologyformal local cohomologyattached primesArtinianness properties

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14)

Related Items (15)

Artinianness and finiteness of formal local cohomology modules with respect to a pair of ideals ⋮ Attached and associated primes of local cohomology modules via linkage ⋮ Finiteness properties of formal local homology modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ FINITENESS PROPERTIES OF FORMAL LOCAL COHOMOLOGY MODULES ⋮ Formal local homology ⋮ Colocalization of formal local cohomology modules ⋮ General 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 ⋮ Some results on top local cohomology and top formal local cohomology modules

Cites Work

• Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck
• On formal local cohomology and connectedness
• Finiteness Properties of Formal Local Cohomology Modules and Cohen–Macaulayness
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• Top Local Cohomology Modules

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