ARTINIANNESS OF LOCAL COHOMOLOGY MODULES OF ZD-MODULES

DOI10.1081/AGB-200063983zbMath1090.13012arXivmath/0412541OpenAlexW1972580058MaRDI QIDQ5699914

Mohammad Ali Esmkhani, Kamran Divaani-Aazar

Publication date: 27 October 2005

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

Full work available at URL: https://arxiv.org/abs/math/0412541

zbMATH Keywords

Goldie dimensionArtinian moduleszero divisors

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (15)

THE CONCEPT OF (I; J)-COHEN MACAULAY MODULES ⋮ Vanishing of the top local cohomology modules over noetherian rings ⋮ Cofiniteness and Artinianness of certain local cohomology modules ⋮ A generalization of the finiteness problem of the local cohomology modules ⋮ Finiteness properties of minimax and \(\mathfrak{a}\)-minimax generalized local cohomology modules ⋮ General local cohomology modules in view of low points and high points ⋮ RESULTS ON LOCAL COHOMOLOGY OF WEAKLY LASKERIAN MODULES ⋮ Finiteness of Local Cohomology Modules Defined by a Pair of Ideals ⋮ Finiteness properties of generalized local cohomology modules for minimax modules ⋮ Modules Having Very Few Zero-Divisors ⋮ Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules ⋮ $S$-depth on $ZD$-modules and local cohomology ⋮ Associated Primes of Local Cohomology Modules of Weakly Laskerian Modules ⋮ Depth of an ideal on ZD-modules ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The Laskerian property in commutative rings
• Rings with Morita duality
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• Endomorphism rings and tensor products of linearly compact modules
• Associated primes of local cohomology modules
• Generalized Matlis duality

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