Minimal injective resolutions with applications to dualizing modules and Gorenstein modules

DOI10.1007/BF02684302zbMath0321.13013OpenAlexW2014898129WikidataQ101085644 ScholiaQ101085644MaRDI QIDQ1223450

Phillip Griffith, Idun Reiten, Hans-Bjørn Foxby, Robert M. Fossum

Publication date: 1975

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1975__45__193_0

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) Brauer groups of schemes (14F22) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

GORENSTEIN MODULES, FINITE INDEX, AND FINITE COHEN–MACAULAY TYPE, Extension closedness of syzygies and local Gorensteinness of commutative rings, The dual of the grade of a module, On Injective and Gorenstein Injective Dimensions of Local Cohomology Modules, Syzygies of resolvents over gorenstein rings, Ore localization and minimal injective resolutions., Homological identities for differential graded algebras., Strongly Cohen-Macaulay Schemes and Residual Intersections, Reductions towards a characteristic free proof of the Canonical Element Theorem, The Happel functor and homologically well-graded Iwanaga-Gorenstein algebras, On the associated graded modules of canonical modules, New Characterizations of Dualizing Modules, A CONSTRUCTION OF QUASI-GORENSTEIN RINGS, Rigidity of Ext and Tor with Coefficients in Residue Fields of a Commutative Noetherian Ring, Applications of duality theory to Cousin complexes, Factorial henselian rings with non-factorial completions, Hilbert polynomials for the extension functor, When are \(n\)-syzygy modules \(n\)-torsionfree?, On the existence of embeddings into modules of finite homological dimensions, GORENSTEIN INJECTIVE MODULES AND A GENERALIZATION OF ISCHEBECK FORMULA, A commutative Noetherian ring which possesses a dualizing complex is acceptable, Some applications of the Frobenius in characteristic 0, \(SC_r\) modules over local rings, Local cohomology and the Cousin complex for a commutative Noetherian ring, A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES, A representation theorem for complete local rings, Finiteness of cousin cohomologies, Amplitude inequalities for complexes, Zur lokalen Kohomologie des kanonischen Moduls, Local rings with quasi-decomposable maximal ideal, On rings with finite self-injective dimension, Some restrictions on the maps in minimal resolutions, A Note on a Question of Bass, Indecomposable Gorenstein modules of odd rank, Local cohomology for non-commutative graded algebras, Induced formal deformations and the Cohen-Macaulay property, Pathology in divisor class groups of hypersurfaces

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