A characterization of half-factorial orders in algebraic number fields
Volume 217 / 2025
Acta Arithmetica 217 (2025), 1-17
MSC: Primary 11R27; Secondary 13A05, 13F05
DOI: 10.4064/aa230417-23-8
Published online: 13 December 2024
Abstract
We give an algebraic characterization of half-factorial orders in algebraic number fields. This generalizes prior results for seminormal orders and for orders in quadratic number fields.