A realization theorem for sets of lengths in numerical monoids

Abstract : We show that for every finite nonempty set L of integers greater than or equal to 2 there are a numerical monoid H and a squarefree element a ∈ H whose set of lengths L(a) is equal to L.
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https://hal.archives-ouvertes.fr/hal-01615120
Contributor : Wolfgang Schmid <>
Submitted on : Tuesday, January 16, 2018 - 2:50:25 PM
Last modification on : Wednesday, February 6, 2019 - 1:25:59 AM

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  • HAL Id : hal-01615120, version 2
  • ARXIV : 1710.04388

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Alfred Geroldinger, Wolfgang Schmid. A realization theorem for sets of lengths in numerical monoids. 2018. ⟨hal-01615120v2⟩

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