Research Article

Numerical semigroups of coated odd elements

Published in: Quaestiones Mathematicae
Volume 49 , issue 1, pages: 53–69

DOI: 10.2989/16073606.2025.2550683

Author(s): M.B. BrancoUniversidade de Évora, , J.C. RosalesUniversidad de Granada, Spain, M.A. TraeselInstituto Federal de São Paulo, Brazil,

Keywords: Primary: 20M14, Secondary: 11D07, Frobenius number, gender, numerical semigroups, Frobenius family, Coe-semigroups and tree (associated to a Coe-semigroup),

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Abstract

A numerical semigroup S is coated with odd elements (Coe-semigroup), if {x − 1, x + 1} ⊆ S for all odd elements x in S. In this note, we will study this kind of numerical semigroup. 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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Research Article

Numerical semigroups of coated odd elements

Abstract

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