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The poset of normalized ideals of numerical semigroups with multiplicity three

Published 31 Jul 2024 in math.AC and math.CO | (2407.21697v1)

Abstract: We study the poset of normalized ideals of a numerical semigroup with multiplicity three. We show that this poset is always a lattice, and that two different numerical semigroups with multiplicity three have non-isomorphic posets of normalized ideals.

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