A Krull-Schmidt Theorem for One-dimensional Rings of Finite Cohen-Macaulay Type
Commutative Algebra
2007-05-23 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.math/0410585,
title = {A Krull-Schmidt Theorem for One-dimensional Rings of Finite Cohen-Macaulay Type},
author = {Nicholas Baeth},
journal= {arXiv preprint arXiv:math/0410585},
year = {2007}
}