Geodesic
The Słupecki criterion by duality
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 5-11.

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A method is presented for proving primality and functional completeness theorems, which makes use of the operation-relation duality. By the result of Sierpiński, we have to investigate relations generated by the two-element subsets of A^k only. We show how the method applies for proving Słupecki's classical theorem by generating diagonal relations from each pair of k-tuples.
Keywords: primal algebra, diagonal relation, Galois connection, Słupecki Criterion 
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Horváth, Eszter. The Słupecki criterion by duality. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 5-11. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a0/

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