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arXiv · 2410.13729

Factorizations into irreducible numerical semigroups

Pedro A. Garcia-Sanchez
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Abstract

Every numerical semigroup can be expressed as an intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to $\mathbb{N}_{\ge 2}$.

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Pedro A. Garcia-Sanchez. 2024-10-17. Factorizations into irreducible numerical semigroups. https://arxiv.org/abs/2410.13729

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