Principal ideals in a plactic monoid always intersect
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917887491440640 |
|---|---|
| author | Turaev, Daniel |
| author_facet | Turaev, Daniel |
| contents | This note presents a proof that two principal ideals in a plactic monoid always intersect. Namely, this means that the plactic monoids are both left and right reversible. To the author's knowledge, this result has not yet appeared in the literature studying this monoid. This result holds for both finite rank plactic monoids and the infinite rank plactic monoid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11047 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Principal ideals in a plactic monoid always intersect Turaev, Daniel Group Theory This note presents a proof that two principal ideals in a plactic monoid always intersect. Namely, this means that the plactic monoids are both left and right reversible. To the author's knowledge, this result has not yet appeared in the literature studying this monoid. This result holds for both finite rank plactic monoids and the infinite rank plactic monoid. |
| title | Principal ideals in a plactic monoid always intersect |
| topic | Group Theory |
| url | https://arxiv.org/abs/2410.11047 |