Bounds for indecomposable torsion-free modules

DOI10.1016/j.jpaa.2008.11.032zbMath1168.13006OpenAlexW2004560462MaRDI QIDQ1013099

Melissa R. Luckas, Nicholas R. Baeth

Publication date: 16 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.11.032

zbMATH Keywords

Cohen-Macaulay typering-orderArtinian pairindecomposable torsion-free module

Mathematics Subject Classification ID

Cohen-Macaulay modules (13C14) Local rings and semilocal rings (13H99)

Related Items (4)

Monoids of torsion-free modules over rings with finite representation type ⋮ Monoids of modules over rings of infinite Cohen-Macaulay type ⋮ Rank-sets of indecomposable modules over one-dimensional rings ⋮ Ranks of Indecomposable Modules over Rings of Infinite Cohen-Macaulay Type

Cites Work

• Einfache Kurvensingularitäten und torsionsfreie Moduln
• Einfache Kurvensingularitäten in beliebiger Charakteristik
• A Krull-Schmidt theorem for one-dimensional rings of finite Cohen-Macaulay type
• Indecomposable modules over one-dimensional noetherian rings
• Commutative orders whose lattices are direct sums of ideals
• Ranks of indecomposable modules over one-dimensional rings. II
• Integral representations and diagrams
• Local rings of finite Cohen-Macaulay type
• One-dimensional rings of finite Cohen-Macaulay type
• Bounds for one-dimensional rings of finite Cohen-Macaulay type
• Cohen-Macaulay modules on hypersurface singularities. II
• Sur les ordres commutatifs avec un nombre fini de réseaux indecomposables
• On the ubiquity of Gorenstein rings
• Groups with a finite number of indecomposable integral representations
• Some indecomposable group representations
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