Mal'cev clones over a three-element set up to minor-equivalence
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912530213896192 |
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| author | Fioravanti, Stefano Kompatscher, Michael Rossi, Bernardo Vucaj, Albert |
| author_facet | Fioravanti, Stefano Kompatscher, Michael Rossi, Bernardo Vucaj, Albert |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_06918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mal'cev clones over a three-element set up to minor-equivalence Fioravanti, Stefano Kompatscher, Michael Rossi, Bernardo Vucaj, Albert Rings and Algebras Logic in Computer Science 03B50, 08A70, 08B05 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. |
| title | Mal'cev clones over a three-element set up to minor-equivalence |
| topic | Rings and Algebras Logic in Computer Science 03B50, 08A70, 08B05 |
| url | https://arxiv.org/abs/2508.06918 |