Galois theory for clones and superclones
Nikolay A. Peryazev, Иван Константинович Шаранхаев · Discrete Mathematics and Applications · 2016
Abstract 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.