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Function classes and relational constraints stable under compositions with clones. (English) Zbl 1203.06005

Summary: 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.

MSC:

06A15 Galois correspondences, closure operators (in relation to ordered sets)
06E30 Boolean functions
08A02 Relational systems, laws of composition
08A40 Operations and polynomials in algebraic structures, primal algebras