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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73027We 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.Commutative AlgebraRepresentation Theory13C14A Krull-Schmidt Theorem for One-dimensional Rings of Finite Cohen-Macaulay Typetext