Work

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

Year: 2026

Type: article

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.

Source: Ricerche di Matematica

DOI: 10.1007/s11587-026-01060-5

Authors: Pietro Campochiaro, Marco D’Anna, Francesco Strazzanti

Institutions: University of Catania, University of Messina

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Università di Catania, Ministero dell'Università e della Ricerca

OpenAlex ID: W7128698228

FWCI:

Cites: 20

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