Numerical semigroups with distances no admisible between gaps greater than its multiplicity

Let A pabe a nonempty subset of positive integers. In this paper we study the set of numerical semigroups that fulfill: if {x,y} ⊆ ℕ\S and x > y > min(S\{0}), then x-y ∉ A.

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Publication Details

Journal
Ars Mathematica Contemporanea
Published
2024-12-10
DOI
https://doi.org/10.26493/1855-3974.2838.8be
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

Numerical semigroups with distances no admisible between gaps greater than its multiplicity

M. B. Branco, Márcio A. Traesel, J. C. Rosales
Ars Mathematica Contemporanea
Graph theory and applications
article

Numerical semigroups with distances no admisible between gaps greater than its multiplicity

M. B. Branco, Márcio A. Traesel, J. C. Rosales
article en

Abstract

Let A pabe a nonempty subset of positive integers. In this paper we study the set of numerical semigroups that fulfill: if {x,y} ⊆ ℕ\S and x > y > min(S\{0}), then x-y ∉ A.

Ars Mathematica ContemporaneaVol. 26(1)
Federal Institute of São Paulo (BR), Universidad de Granada (ES), University of Évora (PT)
Reduced inequalities
Openalex Percentile: Top 65%
Graph theory and applications
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