Generalized Local Cohomology Modules and Homological Gorenstein Dimensions

DOI10.1080/00927870903295380zbMath1233.13006arXiv0803.0107OpenAlexW2963319543MaRDI QIDQ3094822

Alireza Hajikarimi, Kamran Divaani-Aazar

Publication date: 27 October 2011

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

Full work available at URL: https://arxiv.org/abs/0803.0107

zbMATH Keywords

cohomological dimensionArtinian modulesattached prime idealsGorenstein projective dimensionGorenstein injective dimensiongeneralized local cohomology modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45)

Related Items

UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ The finiteness dimension of local cohomology modules and its dual notion ⋮ The derived category analogue of the Hartshorne-Lichtenbaum vanishing theorem ⋮ Hilbert-Kirby polynomials in generalized local cohomology modules ⋮ Generalized local duality, canonical modules, and prescribed bound on projective dimension ⋮ Some results on top generalized local cohomology modules with respect to a system of ideals ⋮ The derived category analogue of some results in local cohomology ⋮ On shifted principles of generalized local cohomology modules ⋮ Finiteness of graded generalized local cohomology modules ⋮ Unnamed Item ⋮ The first non-isomorphic local cohomology modules with respect to their ideals ⋮ On the Existence of Certain Modules of Finite Gorenstein Homological Dimensions ⋮ On ideals preserving generalized local cohomology modules ⋮ Vanishing and artinianness of graded generalized local cohomology ⋮ On the cofiniteness of generalized local cohomology modules ⋮ Tameness and Artinianness of Graded Generalized Local Cohomology Modules ⋮ FINITENESS DIMENSION AND BASS NUMBERS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Artinian graded generalized local cohomology

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