Gorenstein Dimension and AS-Gorenstein Algebras
DOI10.1080/00927872.2013.807111zbMath1328.16004OpenAlexW1982591054MaRDI QIDQ2876284
Publication date: 18 August 2014
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2013.807111
Gorenstein dimensionAS-Gorenstein algebrasbalanced dualizing complexesfinitely generated graded modulesNoetherian connected graded algebrasAuslander-Bridger formula
Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)
Cites Work
- Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras.
- Graded algebras of global dimension 3
- Dualizing complexes over noncommutative graded algebras
- Gorenstein homomorphisms of noncommutative rings
- Noncommutative projective schemes
- Connected graded Gorenstein algebras with enough normal elements
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- Gorenstein homological dimensions.
- Gourmet's guide to Gorensteinness
- Gorenstein dimensions
- Gorenstein injective and projective modules
- Relative homological algebra
- Local cohomology for non-commutative graded algebras
- Some projective surfaces of GK-dimension 4
- Growth of graded noetherian rings
- Homological properties of balanced Cohen-Macaulay algebras
- G-Dimension.
- Dualizing complexes over noncommutative local rings
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