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A characterization of half-factorial orders in algebraic number fields
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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.
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Cited by 2 Pith papers
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On $q$-real and $q$-complex numbers
For every real x > 1 the q-real series [x]_q converges in the disk |q| < 3−2√2 to a nonvanishing holomorphic function, partially proving the radius-convergence conjecture.
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Multiplicative Relationships of Subrings and their Applications to Factorization
For orders in number fields, a subring is associated if and only if it is both ideal-preserving and locally associated, yielding a quadratic-order classification of half-factorial domains.
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