Wszystkie pola: quasiorder - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

Skocz do pozycji: 2.

Tytuł:: Quasiorders, Tolerance Relations and Corresponding “Partitions”
Autorzy:: Nowak, Marek
Powiązania:: https://bibliotekanauki.pl/articles/749916.pdf
Data publikacji:: 2016
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: partition
quasiorder
tolerance relation
Opis:: The paper deals with a generalization of the notion of partition for wider classes of binary relations than equivalences: for quasiorders and tolerance relations. The counterpart of partition for the quasiorders is based on a generalization of the notion of equivalence class while it is shown that such a generalization does not work in case of tolerances. Some results from [5] are proved in a much more simple way. The third kind of “partition” corresponding to tolerances, not occurring in [5], is introduced.
Źródło:: Bulletin of the Section of Logic; 2016, 45, 2
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

Artykuł

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