- Tytuł:
- On interval decomposition lattices
- Autorzy:
-
Foldes, Stephan
Radeleczki, Sándor - Powiązania:
- https://bibliotekanauki.pl/articles/728916.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
interval
closure system
modular decomposition
semimodular lattice
partition lattice
strong set
lexicographic sum - Opis:
- Intervals in binary or n-ary relations or other discrete structures generalize the concept of interval in an ordered set. They are defined abstractly as closed sets of a closure system on a set V, satisfying certain axioms. Decompositions are partitions of V whose blocks are intervals, and they form an algebraic semimodular lattice. Lattice-theoretical properties of decompositions are explored, and connections with particular types of intervals are established.
- Źródło:
-
Discussiones Mathematicae - General Algebra and Applications; 2004, 24, 1; 95-114
1509-9415 - Pojawia się w:
- Discussiones Mathematicae - General Algebra and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł