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

Fuente: arXiv
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Autori principali: Campochiaro, Pietro, D'Anna, Marco, Strazzanti, Francesco
Natura: Preprint
Pubblicazione: 2025
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author Campochiaro, Pietro
D'Anna, Marco
Strazzanti, Francesco
author_facet Campochiaro, Pietro
D'Anna, Marco
Strazzanti, Francesco
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_13591
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Some classes of one-dimensional rings characterized by their reflexive ideals
Campochiaro, Pietro
D'Anna, Marco
Strazzanti, Francesco
Commutative Algebra
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.
title Some classes of one-dimensional rings characterized by their reflexive ideals
topic Commutative Algebra
url https://arxiv.org/abs/2506.13591