Numerical semigroups with embedding dimension three and minimal catenary degree
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866917813895036928 |
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| author | García-Sánchez, Pedro A. Martín-Cruz, Helena |
| author_facet | García-Sánchez, Pedro A. Martín-Cruz, Helena |
| contents | We characterize numerical semigroups $S$ with embedding dimension three attaining equality in the inequality $\maxΔ(S)+2\leq \operatorname{cat}(S)$, where $Δ(S)$ denotes the Delta set of $S$ and $\operatorname{cat}(S)$ denotes the catenary degree of $S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_09419 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Numerical semigroups with embedding dimension three and minimal catenary degree García-Sánchez, Pedro A. Martín-Cruz, Helena Number Theory 20M14, 20M13 We characterize numerical semigroups $S$ with embedding dimension three attaining equality in the inequality $\maxΔ(S)+2\leq \operatorname{cat}(S)$, where $Δ(S)$ denotes the Delta set of $S$ and $\operatorname{cat}(S)$ denotes the catenary degree of $S$. |
| title | Numerical semigroups with embedding dimension three and minimal catenary degree |
| topic | Number Theory 20M14, 20M13 |
| url | https://arxiv.org/abs/1909.09419 |