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arXiv · 2506.13591

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

Pietro Campochiaro·Marco D'Anna·Francesco Strazzanti
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Abstract

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.

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Pietro Campochiaro, Marco D'Anna, Francesco Strazzanti. 2025-06-16. Some classes of one-dimensional rings characterized by their reflexive ideals. https://arxiv.org/abs/2506.13591

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