A Cayley theorem for posets
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915764335804416 |
|---|---|
| author | Chajda, Ivan Länger, Helmut |
| author_facet | Chajda, Ivan Länger, Helmut |
| contents | We show that every poset P=(P,\le) satisfying the Ascending Chain Condition can be isomorphically embedded into the poset of all mappings from P to the set A(P) of all antichains of P equipped with a certain partial order relation. This isomorphism is presented explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_00210 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Cayley theorem for posets Chajda, Ivan Länger, Helmut General Mathematics 06A06, 06A11 We show that every poset P=(P,\le) satisfying the Ascending Chain Condition can be isomorphically embedded into the poset of all mappings from P to the set A(P) of all antichains of P equipped with a certain partial order relation. This isomorphism is presented explicitly. |
| title | A Cayley theorem for posets |
| topic | General Mathematics 06A06, 06A11 |
| url | https://arxiv.org/abs/2602.00210 |