Numerical semigroups of coated odd elements
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909266890194944 |
|---|---|
| author | Rosales, J. C. Branco, M. B. Traesel, M. A. |
| author_facet | Rosales, J. C. Branco, M. B. Traesel, M. A. |
| contents | A numerical semigroup $S$ is coated with odd elements (Coe-semigroup), if $\left\{x-1, x+1\right\}\subseteq S$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical semigroups of coated odd elements Rosales, J. C. Branco, M. B. Traesel, M. A. Commutative Algebra Frobenius number, gender, Numerical semigroups, Frobenius family, Coe-semigroups and tree A numerical semigroup $S$ is coated with odd elements (Coe-semigroup), if $\left\{x-1, x+1\right\}\subseteq S$ 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. |
| title | Numerical semigroups of coated odd elements |
| topic | Commutative Algebra Frobenius number, gender, Numerical semigroups, Frobenius family, Coe-semigroups and tree |
| url | https://arxiv.org/abs/2407.17153 |