International Journal of Algebra and Computation· 2026Q2
Mal'cev clones over a three-element set up to minor-equivalence
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- Q2SCImago
- 2026year
Short summary
All Mal'cev clones over a three-element set have been classified up to minion homomorphisms, providing a step towards classifying three-element relational structures.
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Key points
- Classification of Mal'cev clones over a three-element set up to minion homomorphisms.
- Contribution towards the complete classification of three-element relational structures up to pp-constructability.
- Alternative proof of Bulatov's result on the at most 4-ary relational basis of these clones.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. International Journal of Algebra and Computation, 2026 · DOI ↗
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Field: Computational Theory and Mathematics
Computational Theory and MathematicsComputer Science