Gapset Extensions, Theory and Computations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866910555546058752 |
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| author | Kachouei, Arman Ataei Rahmati, Farhad |
| author_facet | Kachouei, Arman Ataei Rahmati, Farhad |
| contents | In this paper we extend some set theoretic concepts of numerical semigroups for arbitrary sub-semigroups of natural numbers. Then we characterized gapsets which leads to a more efficient computational approach towards numerical semigroups and finally we introduce the extension of gapsets and prove that the sequence of the number of gapsets of size $g$ is non-decreasing as a weak version of Bras-Amorós's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02425 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gapset Extensions, Theory and Computations Kachouei, Arman Ataei Rahmati, Farhad Combinatorics Commutative Algebra In this paper we extend some set theoretic concepts of numerical semigroups for arbitrary sub-semigroups of natural numbers. Then we characterized gapsets which leads to a more efficient computational approach towards numerical semigroups and finally we introduce the extension of gapsets and prove that the sequence of the number of gapsets of size $g$ is non-decreasing as a weak version of Bras-Amorós's conjecture. |
| title | Gapset Extensions, Theory and Computations |
| topic | Combinatorics Commutative Algebra |
| url | https://arxiv.org/abs/2408.02425 |