One-dimensional rings of finite Cohen-Macaulay type

DOI10.1016/S0022-4049(97)00137-0zbMath0971.13018MaRDI QIDQ1295632

Nuri Cimen

Publication date: 4 November 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Cohen-Macaulay propertymaximal Cohen-Macaulay modulesintegral closureone-dimensional reduced local Noetherian ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Cohen-Macaulay modules (13C14) Regular local rings (13H05)

Related Items (6)

Indecomposable modules over one-dimensional noetherian rings ⋮ Rank-sets of indecomposable modules over one-dimensional rings ⋮ Bounds for indecomposable torsion-free modules ⋮ One-dimensional rings of finite Cohen-Macaulay type ⋮ Hypersurfaces of bounded Cohen-Macaulay type ⋮ Local rings of bounded Cohen-Macaulay type

Cites Work

• Einfache Kurvensingularitäten und torsionsfreie Moduln
• Einfache Kurvensingularitäten in beliebiger Charakteristik
• Commutative orders whose lattices are direct sums of ideals
• Curve singularities of finite Cohen-Macaulay type
• Integral representations and diagrams
• One-dimensional rings of finite Cohen-Macaulay type
• Bounds for one-dimensional rings of finite Cohen-Macaulay type
• Sur les ordres commutatifs avec un nombre fini de réseaux indecomposables
• On the ubiquity of Gorenstein rings
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