Some aspects of non-noetherian local cohomology

DOI10.1080/00927878008822533zbMath0437.13008OpenAlexW1967419818MaRDI QIDQ3877782

Toma L.Albu, Constantin Năstăsescu

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/00927878008822533

zbMATH Keywords

torsion theoriesdepthdominant dimensionKrull domainsderived functors of localization functornon-noetherian local cohomology

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Torsion theory for commutative rings (13D30)

Related Items (6)

On local cohomology modules ⋮ On the exactness of products in the localization of (Ab.\(4^{\ast}\)) Grothendieck categories ⋮ Cousin complex characterization of non-noetherianN-Gorenstein rings ⋮ Local cohomology of graded rings and projective schemes ⋮ Noncommutative local cohomology ⋮ Cousin complex,local cohomology and torsion theory

Cites Work

• Unnamed Item
• La structure des modules par rapport à une topologie additive
• Class groups of n-noetherian rings
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA

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