Geodesic
Interpreting the action of the endomorphism monoid of the rationals
Algebra i logika, Tome 60 (2021) no. 1, pp. 96-112.

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In a first order language we interpret the action of the monoid $M$ of embeddings of $({\mathbb Q}, )$ on the set $\mathbb Q$ inside $(M, \circ)$. A similar result is proved for the monoid $E$ of all endomorphisms of $({\mathbb Q}, \le)$.
Keywords: rationals, monoid of embeddings, monoid of endomorphisms. 
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J. K. Truss; E. Vargas-García. Interpreting the action of the endomorphism monoid of the rationals. Algebra i logika, Tome 60 (2021) no. 1, pp. 96-112. http://geodesic.mathdoc.fr/item/AL_2021_60_1_a5/

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