The number of equationally additive clones on finite sets
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
Summer School on General Algebra and Ordered Sets 2022
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
For a clone on a finite set, a finitary relation is algebraic if it can be described as solution set of a finite system of equations using only functions from that clone. We call a clone equationally additive if the union of any two algebraic relations of the same arity is again algebraic. In the talk we shall report on how many equationally additive clones (and clones with constants) there are on carrier sets of size 2, 3 and beyond.
Sprache der Kurzfassung:
Englisch
Englischer Vortragstitel:
The number of equationally additive clones on finite sets