Numerical semigroups of coated odd elements

A numerical semigroup S is coated with odd elements (Coe-semigroup), if {x − 1, x + 1} ⊆ S for all odd element x in S. In this note, we will study this kind of numerical semigroups. In particular, we are interested in the study of the Frobenius number, gender and embedding dimension of a numerical semigroup of this type

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Publication Details

Journal
Quaestiones Mathematicae
Published
2025-09-29
DOI
https://doi.org/10.2989/16073606.2025.2550683
Primary Topic
Commutative Algebra and Its Applications
Type
article
Field-Weighted Citation Impact
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article

Numerical semigroups of coated odd elements

M. B. Branco, Márcio A. Traesel, J. C. Rosales
Quaestiones Mathematicae
Commutative Algebra and Its Applications
article

Numerical semigroups of coated odd elements

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

Abstract

A numerical semigroup S is coated with odd elements (Coe-semigroup), if {x − 1, x + 1} ⊆ S for all odd element x in S. In this note, we will study this kind of numerical semigroups. In particular, we are interested in the study of the Frobenius number, gender and embedding dimension of a numerical semigroup of this type

Quaestiones MathematicaeVol. 49(1)
Federal Institute of São Paulo (BR), Universidad de Granada (ES), University of Évora (PT)
Openalex Percentile: Top 66%
Commutative Algebra and Its Applications
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