Constructing indecomposable integrally closed modules over a two-dimensional regular local ring
Commutative Algebra
2018-09-24 v1
Abstract
In this article, we construct integrally closed modules of rank two over a two-dimensional regular local ring. The modules are explicitly constructed from a given complete monomial ideal with respect to a regular system of parameters. Then we investigate their indecomposability. As a consequence, we have a large class of indecomposable integrally closed modules whose Fitting ideal is not simple. This gives an answer to Kodiyalam's question.
Cite
@article{arxiv.1809.07944,
title = {Constructing indecomposable integrally closed modules over a two-dimensional regular local ring},
author = {Futoshi Hayasaka},
journal= {arXiv preprint arXiv:1809.07944},
year = {2018}
}
Comments
21 pages, 2 figures