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Every at most four element algebra has a Mal'cev theory for permutability
Mathematica slovaca, Tome 41 (1991) no. 1, pp. 35-39
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Classification : 08A30, 08B05 
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Chajda, Ivan. Every at most four element algebra has a Mal'cev theory for permutability. Mathematica slovaca, Tome 41 (1991) no. 1, pp. 35-39. http://geodesic.mathdoc.fr/item/MASLO_1991_41_1_a5/

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[2] KOREC I.: А ternary function for distributivity and permutability of an equivalence lattice. Proc. Аmer. Math. Soc., 69, 1978, 8-10. | MR | Zbl

[3] MAĽCEV A. I.: On the general theory of algebraic systems. Mat. Sboгník., 35, 1954, 3-20. | MR

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[5] PIXLEY A. F.: Local Maľcev conditions. Canad. Math. Bull., 15, 1972, 559-568. | MR | Zbl