- Tytuł:
- Quasiorder lattices are five-generated
- Autorzy:
- Kulin, Júlia
- Powiązania:
- https://bibliotekanauki.pl/articles/728856.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
quasiorder lattice
preorder lattice
accessible cardinal - Opis:
- A quasiorder (relation), also known as a preorder, is a reflexive and transitive relation. The quasiorders on a set A form a complete lattice with respect to set inclusion. Assume that A is a set such that there is no inaccessible cardinal less than or equal to |A|; note that in Kuratowski's model of ZFC, all sets A satisfy this assumption. Generalizing the 1996 result of Ivan Chajda and Gábor Czéedli, also Tamás Dolgos' recent achievement, we prove that in this case the lattice of quasiorders on A is five-generated, as a complete lattice.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2016, 36, 1; 59-70
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł