- Tytuł:
- Lattices of relative colour-families and antivarieties
- Autorzy:
- Kravchenko, Aleksandr
- Powiązania:
- https://bibliotekanauki.pl/articles/728898.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
colour-family
antivariety
lattice of antivarieties
meet decomposition
basis for anti-identities - Opis:
- We consider general properties of lattices of relative colour-families and antivarieties. Several results generalise the corresponding assertions about colour-families of undirected loopless graphs, see [1]. Conditions are indicated under which relative colour-families form a lattice. We prove that such a lattice is distributive. In the class of lattices of antivarieties of relation structures of finite signature, we distinguish the most complicated (universal) objects. Meet decompositions in lattices of colour-families are considered. A criterion is found for existence of irredundant meet decompositions. A connection is found between meet decompositions and bases for anti-identities.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 1; 123-139
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł