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arXiv · 1809.07944

Constructing indecomposable integrally closed modules over a two-dimensional regular local ring

Futoshi Hayasaka
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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.

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Futoshi Hayasaka. 2018-09-21. Constructing indecomposable integrally closed modules over a two-dimensional regular local ring. https://arxiv.org/abs/1809.07944

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