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Constructing Big Indecomposable modules

2008/05/06 by Andrew Crabbe, Crabbe, Andrew, Janet Striuli +1
Mathematics · #13C14 #13E05 #13H10 #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC #msc:13C14 #msc:13E05 #msc:13H10

paper · pdf · doi:10.48550/arxiv.0805.0804

8 pages, Minor modifications,

openalex publication_date 2008/05/06 · arxiv created 2008/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let R be local Noetherian ring of depth at least two. We prove that there are indecomposable R-modules which are free on the punctured spectrum of constant, arbitrarily large, rank.

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