Local cohomology for non-commutative graded algebras

DOI10.1080/00927879708825875zbMath0871.16021OpenAlexW2002392928MaRDI QIDQ3124360

Peter Jørgensen

Publication date: 25 September 1997

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

Full work available at URL: https://doi.org/10.1080/00927879708825875

zbMATH Keywords

local dualitieslocal cohomologyinjective dimensioncategories of graded modulesfinitely generated graded modulesgraded Noetherian algebrasBass-numbersNoetherian AS-Gorenstein algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (33)

Homological properties of balanced Cohen-Macaulay algebras ⋮ Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras. ⋮ Homological properties of quantized coordinate rings of semisimple groups ⋮ Existence theorems for dualizing complexes over non-commutative graded and filtered rings ⋮ Weighted homological regularities ⋮ Corrigendum to: ``Local duality for connected \(\mathbb{Z} \)-algebras ⋮ Homological identities for differential graded algebras. ⋮ Twisted semigroup algebras ⋮ Local cohomology for Gorenstein homologically smooth DG algebras ⋮ 𝐴_{∞}-structures associated with pairs of 1-spherical objects and noncommutative orders over curves ⋮ Change of grading, injective dimension and dualizing complexes ⋮ Serre's vanishing conjecture for Ext-groups. ⋮ Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities. ⋮ Some homological invariants of local PI algebras ⋮ Gorenstein Test Modules^# ⋮ GRADED MORITA EQUIVALENCES FOR GEOMETRIC AS-REGULAR ALGEBRAS ⋮ Graded Morita equivalences for generic Artin-Schelter regular algebras. ⋮ Dualizing complexes over noncommutative local rings ⋮ Homological identities for noncommutative rings ⋮ Local duality for connected \(\mathbb{Z}\)-algebras ⋮ Gorenstein homomorphisms of noncommutative rings ⋮ On the quadratic dual of the Fomin–Kirillov algebras ⋮ Gourmet's guide to Gorensteinness ⋮ Rings with Auslander dualizing complexes ⋮ Degree bounds for Hopf actions on Artin-Schelter regular algebras ⋮ On Knörrer Periodicity for Quadric Hypersurfaces in Skew Projective Spaces ⋮ Noncommutative Knörrer periodicity and noncommutative Kleinian singularities ⋮ Properties of AS-Cohen-Macaulay algebras ⋮ Intersection multiplicity over noncommutative algebras ⋮ Regular modules over 2-dimensional quantum Beilinson algebras of type \(S\) ⋮ Pre-balanced dualizing complexes ⋮ Noncommutative graded algebras of finite Cohen-Macaulay representation type ⋮ Gorenstein Dimension and AS-Gorenstein Algebras

Cites Work

• Dualizing complexes over noncommutative graded algebras
• Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
• Noncommutative projective schemes

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