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Closure Operators and Lattice Extensions

✍ Scribed by J. B. Nation

Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
79 KB
Volume
21
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES

Closure operators on a lattice
Closure operators on a lattice
✍ S. L. Γ‰del'man πŸ“‚ Article πŸ“… 1981 πŸ› SP MAIK Nauka/Interperiodica 🌐 English βš– 673 KB
Lattices of closure operators
Lattices of closure operators
✍ Akira Higuchi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 204 KB

The system of all the closure operators on a set V forms a lattice. This lattice is isomorphic to the lattice of all the Moore families of subsets of V. This paper describes basic properties of these lattices, and gives a method to find all the members of these lattices.