Monoids of torsion-free modules over rings with finite representation type

DOI10.1216/JCA-2011-3-4-439zbMath1244.13009MaRDI QIDQ412556

Melissa R. Luckas, Nicholas R. Baeth

Publication date: 4 May 2012

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1323364352

zbMATH Keywords

Krull-Remak-Schmidt theoremfinite representation typelocal ringfinitely generated torsion free module

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Other special types of modules and ideals in commutative rings (13C13)

Related Items (3)

Lattices over Bass rings and graph agglomerations ⋮ Monoids of modules over rings of infinite Cohen-Macaulay type ⋮ Ranks of Indecomposable Modules over Rings of Infinite Cohen-Macaulay Type

Cites Work

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• Induced representations and projective modules
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• Integral representations and diagrams
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• Bounds for one-dimensional rings of finite Cohen-Macaulay type
• Elasticities of Krull domains with finite divisor class group
• Sur les ordres commutatifs avec un nombre fini de réseaux indecomposables
• Groups with a finite number of indecomposable integral representations
• Some indecomposable group representations
• Krull-Schmidt theorems in dimension 1
• Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem

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