Mal'cev clones over a three-element set up to minor-equivalence
Rings and Algebras
2025-08-12 v1 Logic in Computer Science
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.
Keywords
Cite
@article{arxiv.2508.06918,
title = {Mal'cev clones over a three-element set up to minor-equivalence},
author = {Stefano Fioravanti and Michael Kompatscher and Bernardo Rossi and Albert Vucaj},
journal= {arXiv preprint arXiv:2508.06918},
year = {2025}
}
Comments
33 pages, 4 figures; appendix contains a github link with additional material