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<p>We study reflexive ideals in one-dimensional Cohen-Macaulay local rings, providing characterizations of almost Gorenstein rings, rings with minimal multiplicity, and Arf rings, which describe their reflexive fractional ideals.</p>

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Some classes of one-dimensional rings characterized by their reflexive ideals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月12日

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  • Pietro Campochiaro,
  • Marco D’Anna,
  • Francesco Strazzanti

摘要

We study reflexive ideals in one-dimensional Cohen-Macaulay local rings, providing characterizations of almost Gorenstein rings, rings with minimal multiplicity, and Arf rings, which describe their reflexive fractional ideals.