Homological properties of balanced Cohen-Macaulay algebras
DOI10.1090/S0002-9947-02-03166-5zbMath1030.16006OpenAlexW2097209003MaRDI QIDQ4787450
Publication date: 7 January 2003
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03166-5
projective dimensionintersection multiplicitiesArtin-Schelter regular algebrascategories of graded modulesArtin-Schelter Gorenstein algebrasbalanced dualizing complexesFoxby equivalencescohomology functorsCohen-Macaulay approximationsbalanced Cohen-Macaulay algebras
Rings arising from noncommutative algebraic geometry (16S38) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) 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)
Related Items
Cites Work
- Homological dimensions of unbounded complexes
- Dualizing complexes over noncommutative graded algebras
- Gorenstein homomorphisms of noncommutative rings
- Properties of AS-Cohen-Macaulay algebras
- Noncommutative projective schemes
- Existence theorems for dualizing complexes over non-commutative graded and filtered rings
- Gourmet's guide to Gorensteinness
- Intersection multiplicity over noncommutative algebras
- Local cohomology for non-commutative graded algebras
- The homological theory of maximal Cohen-Macaulay approximations
- Ring Homomorphisms and Finite Gorenstein Dimension
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