Geodesic
Function classes and relational constraints stable under compositions with clones
Discussiones Mathematicae. General Algebra and Applications, Tome 29 (2009) no. 2, pp. 109-121

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The general Galois theory for functions and relational constraints over arbitrary sets described in the authors' previous paper is refined by imposing algebraic conditions on relations.
Keywords: function classes, right (left) composition, Boolean function, invariant relations, relational constraints 
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     title = {Function classes and relational constraints stable under compositions with clones},
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Couceiro, Miguel; Foldes, Stephan. Function classes and relational constraints stable under compositions with clones. Discussiones Mathematicae. General Algebra and Applications, Tome 29 (2009) no. 2, pp. 109-121. http://geodesic.mathdoc.fr/item/DMGAA_2009_29_2_a1/