Geodesic
Lattice of definability (of reducts) for integers with successor
Izvestiya. Mathematics , Tome 85 (2021) no. 6, pp. 1257-1269

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In this paper the lattice of definability for integers with a successor (the relation $y = x + 1$) is described. The lattice, whose elements are also knows as reducts, consists of three (naturally described) infinite series of relations. The proof uses a version of the Svenonius theorem for structures of special form.
Keywords: definability, reducts, Svenonius theorem. 
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     author = {A. L. Semenov and S. F. Soprunov},
     title = {Lattice of definability (of reducts) for integers with successor},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_6_a7/}
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A. L. Semenov; S. F. Soprunov. Lattice of definability (of reducts) for integers with successor. Izvestiya. Mathematics , Tome 85 (2021) no. 6, pp. 1257-1269. http://geodesic.mathdoc.fr/item/IM2_2021_85_6_a7/