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arXiv · 2508.06918

Mal'cev clones over a three-element set up to minor-equivalence

Stefano Fioravanti·Michael Kompatscher·Bernardo Rossi·Albert Vucaj
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Abstract

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.

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Stefano Fioravanti, Michael Kompatscher, Bernardo Rossi, Albert Vucaj. 2025-08-09. Mal'cev clones over a three-element set up to minor-equivalence. https://arxiv.org/abs/2508.06918

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