The join of two minimal clones and the meet of two maximal clones (Q5950754)
From MaRDI portal
scientific article; zbMATH DE number 1682604
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The join of two minimal clones and the meet of two maximal clones |
scientific article; zbMATH DE number 1682604 |
Statements
The join of two minimal clones and the meet of two maximal clones (English)
0 references
16 December 2001
0 references
L. Szabó showed in 1992 that for every finite set \(A\) there exist three minimal clones whose join is the clone of all operations, and dually, there exist three maximal clones whose intersection is the clone of projection operations. The authors improve these results by means of a construction of only two minimal and two maximal clones with the respective properties.
0 references
clone
0 references
minimal clone
0 references
primal algebra
0 references
maximal clone
0 references