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

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

2004-10-27

arxiv.org/abs/math/0410585v1

Mathematics

Commutative Algebra

Scientific paper

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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