Geodesic
Clausal relations and C-clones
Discussiones Mathematicae. General Algebra and Applications, Tome 30 (2010) no. 2, pp. 147-171

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We introduce a special set of relations called clausal relations. We study a Galois connection Pol-CInv between the set of all finitary operations on a finite set D and the set of clausal relations, which is a restricted version of the Galois connection Pol-Inv. We define C-clones as the Galois closed sets of operations with respect to Pol-CInv and describe the lattice of all C-clones for the Boolean case D = 0,1. Finally we prove certain results about C-clones over a larger set.
Keywords: clone, Galois connection, clausal relation, C-clone 
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     author = {Vargas, Edith},
     title = {Clausal relations and {C-clones}},
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Vargas, Edith. Clausal relations and C-clones. Discussiones Mathematicae. General Algebra and Applications, Tome 30 (2010) no. 2, pp. 147-171. http://geodesic.mathdoc.fr/item/DMGAA_2010_30_2_a1/