Reduced Bass numbers, Auslanders δ-invariant and certain homological conjectures

DOI10.1515/crll.2002.081zbMath1008.13003OpenAlexW2101191648WikidataQ123278084 ScholiaQ123278084MaRDI QIDQ4779990

Jan R. Strooker, Anne-Marie Simon

Publication date: 30 October 2002

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1b7e4ab12bcd5185f1387e00c1f4d4799f75add8

zbMATH Keywords

canonical element conjecturereduced Bass number

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Related Items (7)

A study of strongly Cohen-Macaulay ideals by delta invariant ⋮ Approximations of complete modules by complete big Cohen-Macaulay modules over a Cohen-Macaulay local ring ⋮ Stiffness of finite free resolutions and the canonical element conjecture. ⋮ Cohen-Macaulay approximation in fibred categories ⋮ Deformation theory of Cohen-Macaulay approximation ⋮ About q-approximations and q-hulls over a Noetherian ring, some refinements of the Auslander-Bridger theory ⋮ Connections between reduced Bass numbers and Auslander's \(\delta\)-invariant

Cites Work

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• Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• The homological theory of maximal Cohen-Macaulay approximations
• Dualizing Complex and the Canonical Element Conjecture
• Dualizing Complex and the Canonical Element Conjecture II
• LOCAL COHOMOLOGY THEORY IN COMMUTATIVE ALGEBRA
• ON GORENSTEIN MODULES OVER A COMPLETE COHEN-MACAULAY LOCAL RING
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†

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