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A characterization of half-factorial orders in algebraic number fields

Volume 217 / 2025

Balint Rago 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.

Authors

  • Balint RagoDepartment of Mathematics and Scientific Computing
    NAWI Graz
    University of Graz
    8010 Graz, Austria
    e-mail

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