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

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    3 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)879-907
    Number of pages29
    JournalJournal of Algebra
    Volume556
    DOIs
    Publication statusPublished - Aug 15 2020

    Keywords

    • Indecomposable module
    • Integral closure
    • Monomial ideal
    • Regular local ring

    ASJC Scopus subject areas

    • Algebra and Number Theory

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