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} ⊆ ℕS and x > y > min(S{0}), then x-y ∉ A.

Authors

M. B. Branco (ORCID: https://orcid.org/0000-0003-0397-7602)
Márcio A. Traesel (ORCID: https://orcid.org/0000-0002-7586-4861)
J. C. Rosales

Publication Details

Journal: Repository of the University of Primorsk (University of Primorska)
Published: 2025-12-17
Primary Topic: Commutative Algebra and Its Applications
Type: article
Field-Weighted Citation Impact: 0.00

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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

Dec 17, 2025

Repository of the University of Primorsk (University of Primorska)

Commutative Algebra and Its Applications

article

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

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

December 17, 2025article 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} ⊆ ℕS and x > y > min(S{0}), then x-y ∉ A.

Repository of the University of Primorsk (University of Primorska)

Reduced inequalities

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Commutative Algebra and Its Applications

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