Numerical semigroups from rational matrices III: semigroups of matricial dimension two and a counterexample to the lonely element conjecture
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908407147003904 |
|---|---|
| author | Chhabra, Arsh Garcia, Stephan Ramon |
| author_facet | Chhabra, Arsh Garcia, Stephan Ramon |
| contents | We characterize semigroups in $\{0,1,2,\ldots\}$ of matricial dimension $2$ and produce a counterexample to the conjecture that a numerical semigroup whose small elements are lonely has matricial dimension at most $2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11554 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical semigroups from rational matrices III: semigroups of matricial dimension two and a counterexample to the lonely element conjecture Chhabra, Arsh Garcia, Stephan Ramon Combinatorics Number Theory 20M14, 05E40 We characterize semigroups in $\{0,1,2,\ldots\}$ of matricial dimension $2$ and produce a counterexample to the conjecture that a numerical semigroup whose small elements are lonely has matricial dimension at most $2$. |
| title | Numerical semigroups from rational matrices III: semigroups of matricial dimension two and a counterexample to the lonely element conjecture |
| topic | Combinatorics Number Theory 20M14, 05E40 |
| url | https://arxiv.org/abs/2506.11554 |