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

Ricerche di Matematica 2026 Open access

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Authors: Pietro Campochiaro, Marco D’Anna, Francesco Strazzanti
DOI: 10.1007/s11587-026-01060-5
Cited by: 0
References: 20

Abstract

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.

Fields of Study & Subjects

Commutative Algebra and Its Applications Rings Modules and Algebras Algebraic Geometry and Number Theory

Publication details

Journal / source
Ricerche di Matematica
Volume
75
Issue
2
Pages
941–954
Publication date
12 February 2026
Language
EN