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The number of equationally additive clones on finite sets

  • Mike Behrisch (Speaker)

Activity: Talk or presentation › Contributed talk › science-to-science

Description

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.
Period29 Aug 2022
Event titleSummer School on General Algebra and Ordered Sets 2022
Event typeConference
LocationSlovakiaShow on map

Fields of science

  • 101013 Mathematical logic
  • 101001 Algebra
  • 101 Mathematics

JKU Focus areas

  • Digital Transformation