Large filters of quasiorder lattices can be generated by few elements
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917595808006144 |
|---|---|
| author | Czédli, Gábor |
| author_facet | Czédli, Gábor |
| contents | For a poset $(P;\leq)$, the quasiorders (AKA preorders) extending the poset order "$\leq$" form a complete lattice $F$, which is a filter in the lattice of all quasiorders of the set $P$. We prove that if the poset order "$\leq$" is small, then $F$ can be generated by few elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13911 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Large filters of quasiorder lattices can be generated by few elements Czédli, Gábor Rings and Algebras 06B99 For a poset $(P;\leq)$, the quasiorders (AKA preorders) extending the poset order "$\leq$" form a complete lattice $F$, which is a filter in the lattice of all quasiorders of the set $P$. We prove that if the poset order "$\leq$" is small, then $F$ can be generated by few elements. |
| title | Large filters of quasiorder lattices can be generated by few elements |
| topic | Rings and Algebras 06B99 |
| url | https://arxiv.org/abs/2302.13911 |