A Krull-Schmidt Theorem for One-dimensional Rings of Finite Cohen-Macaulay Type

2004/10/27 by Nicholas Baeth, Baeth, Nicholas
Mathematics · #13C14 #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.RT #msc:13C14

paper · pdf · doi:10.48550/arxiv.math/0410585

arxiv created 2004/10/27 · arxiv updated 2009/12/01

Abstract

We determine, up to isomorphism, the indecomposable maximal Cohen-Macaulay modules over certain complete one-dimensional local rings of finite Cohen-Macaulay type. We then investigate the direct sum relations of maximal Cohen-Macaulay modules over non-complete rings of finite Cohen-Macaulay type and give a Krull-Schmidt theorem for such rings.

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