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arxiv: 1901.04528 · v2 · pith:I3EFWD5Knew · submitted 2019-01-14 · 🧮 math.AC · math.NT

On monoids of ideals of orders in quadratic number fields

classification 🧮 math.AC math.NT
keywords idealsfieldsmonoidnumberordersquadraticcatenarydegrees
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We determine the set of catenary degrees, the set of distances, and the unions of sets of lengths of the monoid of nonzero ideals and of the monoid of invertible ideals of orders in quadratic number fields.

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