Geodesic
Galois theory for clones and superclones
Diskretnaya Matematika, Tome 27 (2015) no. 4, pp. 79-93

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We study clones (closed sets of operations that contain projections) and superclones on finite sets. According to A. I. Mal'tsev a clone may be considered as an algebra. If we replace algebra universe with a set of multioperations and add the operation of simplest equation solvability then we will obtain an algebra called a superclone. The paper establishes Galois connection between clones and superclones.
Keywords: clone, superclone, operation, multioperation, superposition. 
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     author = {N. A. Peryazev and I. K. Sharankhaev},
     title = {Galois theory for clones and superclones},
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N. A. Peryazev; I. K. Sharankhaev. Galois theory for clones and superclones. Diskretnaya Matematika, Tome 27 (2015) no. 4, pp. 79-93. http://geodesic.mathdoc.fr/item/DM_2015_27_4_a6/