Defining ideals of some numerical semigroup rings with arithmetic pseudo-Frobenius numbers
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914203253604352 |
|---|---|
| author | Takahashi, Kou |
| author_facet | Takahashi, Kou |
| contents | In this paper, we study defining ideals of numerical semigroup rings. Let $H$ be a numerical semigroup with multiplicity $a_0$ and embedding dimension $n$. Assuming $a_0/2+1\leq n$, we prove that the defining ideal of $H$ is determinantal when the set of pseudo-Frobenius numbers forms an arithmetic sequence of length $n-1$. This partly resolves a conjecture of Cuong, Kien, Truong and, Matsuoka. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Defining ideals of some numerical semigroup rings with arithmetic pseudo-Frobenius numbers Takahashi, Kou Commutative Algebra 13H10, 20M14 In this paper, we study defining ideals of numerical semigroup rings. Let $H$ be a numerical semigroup with multiplicity $a_0$ and embedding dimension $n$. Assuming $a_0/2+1\leq n$, we prove that the defining ideal of $H$ is determinantal when the set of pseudo-Frobenius numbers forms an arithmetic sequence of length $n-1$. This partly resolves a conjecture of Cuong, Kien, Truong and, Matsuoka. |
| title | Defining ideals of some numerical semigroup rings with arithmetic pseudo-Frobenius numbers |
| topic | Commutative Algebra 13H10, 20M14 |
| url | https://arxiv.org/abs/2512.14025 |