A STUDY OF COUSIN COMPLEXES THROUGH THE DUALIZING COMPLEXES

DOI10.1081/AGB-200040926zbMath1090.13010arXivmath/0407187MaRDI QIDQ4678677

Mohammad T. Dibaei

Publication date: 23 May 2005

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

Full work available at URL: https://arxiv.org/abs/math/0407187

zbMATH Keywords

dualizing complexescanonical moduleSerre conditionGorenstein modules

Mathematics Subject Classification ID

Related Items (8)

Unnamed Item ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ Filter Rings Under Flat Base Change ⋮ Modules with finite Cousin cohomologies have uniform local cohomological annihilators ⋮ Extension functors of Cousin cohomology modules ⋮ Applications of duality theory to Cousin complexes ⋮ Modules with minimax Cousin cohomologies ⋮ Cohen–Macaulay Loci of Modules

Cites Work

• Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
• Local cohomology and the Cousin complex for a commutative Noetherian ring
• A generalization of the dualizing complex structure and its applications
• The Cousin complex for a module over a commutative Noetherian ring
• Gorenstein modules
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Cousin complexes and flat ring extensions
• Generalized fractions, Buchsbaum modules and generalized Cohen-Macaulay modules
• On the Generalized Fractions of Sharp and Zakeri
• Dualizing complexes for commutative Noetherian rings
• A commutative Noetherian ring which possesses a dualizing complex is acceptable
• Verallgemeinerte COHEN-MACAULAY-Moduln
• FUNDAMENTAL DUALIZING COMPLEXES FOR COMMUTATIVE NOETHERIAN RINGS
• On Grothendieck's local duality theorem
• Cousin Complexes and Generalized Hughes Complexes
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†

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