Gorenstein homomorphisms of noncommutative rings

DOI10.1006/jabr.1998.7608zbMath0926.16036OpenAlexW2066822757MaRDI QIDQ1279822

Peter Jørgensen

Publication date: 30 November 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7608

zbMATH Keywords

Gorenstein algebrasflat dimensionbalanced dualizing complexesconnected graded Noetherian algebrasGorenstein homomorphismsgraded algebra homomorphisms

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Automorphisms and endomorphisms (16W20) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (10)

Homological properties of balanced Cohen-Macaulay algebras ⋮ Rationality of the Poincaré series for Koszul algebras. ⋮ Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras. ⋮ Co-Point Modules Over Frobenius Koszul Algebras ⋮ Gorenstein differential graded algebras ⋮ Ext vanishing and infinite Auslander-Buchsbaum ⋮ Homological identities for noncommutative rings ⋮ Gourmet's guide to Gorensteinness ⋮ Quasi Cohen-Macaulay properties of local homomorphisms ⋮ Gorenstein Dimension and AS-Gorenstein Algebras

Cites Work

• Dualizing complexes over noncommutative graded algebras
• Properties of AS-Cohen-Macaulay algebras
• Noncommutative projective schemes
• Connected graded Gorenstein algebras with enough normal elements
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Local cohomology for non-commutative graded algebras
• Locally Gorenstein Homomorphisms
• Bass Series of Local Ring Homomorphisms of Finite Flat Dimension
• Isomorphims between complexes with applications to the homological theory of modules.
• Ring Homomorphisms and Finite Gorenstein Dimension

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