A commutative Noetherian ring which possesses a dualizing complex is acceptable

DOI10.1017/S0305004100053822zbMath0363.13008MaRDI QIDQ4137289

Rodney Y. Sharp

Publication date: 1977

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (4)

On the singular sets of a module ⋮ On Northcott-Rees theorem on principal systems ⋮ A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES ⋮ A generalization of the dualizing complex structure and its applications

Cites Work

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• Acceptable rings and homomorphic images of Gorenstein rings
• Homological dimensions and Macaulay rings
• The Cousin complex for a module over a commutative Noetherian ring
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• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• The Euler characteristic of a finitely generated module of finite injective dimension
• \(\Sigma\)-injective modules
• On the ubiquity of Gorenstein rings
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• ON GORENSTEIN MODULES OVER A COMPLETE COHEN-MACAULAY LOCAL RING
• The Converse to a Theorem of Sharp on Gorenstein Modules
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†

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