$p$-numerical semigroups with $p$-symmetric properties, II
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909304169168896 |
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| author | Komatsu, Takao |
| author_facet | Komatsu, Takao |
| contents | Recently, the concept of the $p$-numerical semigroup with $p$-symmetric properties has been introduced. When $p=0$, the classical numerical semigroup with symmetric properties is recovered. In this paper, we further study the $p$-numerical semigroup with $p$-almost symmetric properties. We also give $p$-generalized formulas of Watanabe and Johnson, and introduce $p$-Arf numerical semigroup and study its properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02394 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $p$-numerical semigroups with $p$-symmetric properties, II Komatsu, Takao Number Theory Combinatorics Group Theory Recently, the concept of the $p$-numerical semigroup with $p$-symmetric properties has been introduced. When $p=0$, the classical numerical semigroup with symmetric properties is recovered. In this paper, we further study the $p$-numerical semigroup with $p$-almost symmetric properties. We also give $p$-generalized formulas of Watanabe and Johnson, and introduce $p$-Arf numerical semigroup and study its properties. |
| title | $p$-numerical semigroups with $p$-symmetric properties, II |
| topic | Number Theory Combinatorics Group Theory |
| url | https://arxiv.org/abs/2409.02394 |