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Closure operators on a lattice

✍ Scribed by S. L. Édel'man


Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
673 KB
Volume
21
Category
Article
ISSN
0037-4466

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📜 SIMILAR VOLUMES


Lattices of closure operators
✍ Akira Higuchi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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.

On many-sorted algebraic closure operato
✍ Juan Climent Vidal; Juan Soliveres Tur 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB

## Abstract A theorem of Birkhoff‐Frink asserts that every algebraic closure operator on an ordinary set arises, from some algebraic structure on the set, as the corresponding generated subalgebra operator. However, for many‐sorted sets, i.e., indexed families of sets, such a theorem is not longer