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.

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

Marco D'Anna
;
2026-01-01

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.
2026
Almost Gorenstein rings
Arf rings
Divisorial closure
Reflexive ideals
Rings with minimal multiplicity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/704549
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