Reflections on and of minor-closed classes of multisorted operations. (English) Zbl 1406.08002

The Galois theory for minor-closed sets of functions developed by N. Pippenger [Discrete Math. 254, No. 1–3, 405–419 (2002; Zbl 1010.06012)] is extended to multisorted functions in the sense of W. Wechler [Universal algebra for computer scientists. Berlin etc.: Springer-Verlag (1992; Zbl 0748.68002)]. While most of the existing theory translates easily, some multisorted peculiarities require special attention, in particular with regard to reflections in the sense of L. Barto et al. [Isr. J. Math. 223, 363–398 (2018; Zbl 1397.08002)].


08A68 Heterogeneous algebras
06A15 Galois correspondences, closure operators (in relation to ordered sets)
03C05 Equational classes, universal algebra in model theory
08A40 Operations and polynomials in algebraic structures, primal algebras
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