On the monoid of order-preserving transformations of a finite chain whose ranges are intervals
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866909244548186112 |
|---|---|
| author | Fernandes, Vítor H. |
| author_facet | Fernandes, Vítor H. |
| contents | In this note we give a presentation for the monoid $IO_n$ of all order-preserving transformations of a $n$-chain whose ranges are intervals. We also consider the submonoid $IO_n^-$ of $IO_n$ consisting of order-decreasing transformations, for which we determine the cardinality, the rank and a presentation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05084 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the monoid of order-preserving transformations of a finite chain whose ranges are intervals Fernandes, Vítor H. Rings and Algebras 20M20, 20M05, 20M10 In this note we give a presentation for the monoid $IO_n$ of all order-preserving transformations of a $n$-chain whose ranges are intervals. We also consider the submonoid $IO_n^-$ of $IO_n$ consisting of order-decreasing transformations, for which we determine the cardinality, the rank and a presentation. |
| title | On the monoid of order-preserving transformations of a finite chain whose ranges are intervals |
| topic | Rings and Algebras 20M20, 20M05, 20M10 |
| url | https://arxiv.org/abs/2407.05084 |