Mal'cev clones over a three-element set up to minor-equivalence
Stefano Fioravanti, Michael Kompatscher, Bernardo Rossi, Albert Vucaj · International Journal of Algebra and Computation · 2026
We classify all Mal'cev clones over a three-element set up to minion homomorphisms. This is another step toward the complete classification of three-element relational structures up to pp-constructability. We furthermore provide an alternative proof of Bulatov's result that all Mal'cev clones over a three-element set have an at most 4-ary relational basis.