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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{AL_2021_60_1_a5,
     author = {J. K. Truss and E. Vargas-Garc{\'\i}a},
     title = {Interpreting the action of the endomorphism monoid of the rationals},
     journal = {Algebra i logika},
     pages = {96--112},
     publisher = {mathdoc},
     volume = {60},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2021_60_1_a5/}
}
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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/