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arXiv · 1908.11727

Interpreting the action of the endomorphism monoid of the rationals

John K Truss·Edith Vargas-Garcia
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Abstract

In this paper, we define the action of $M$, the monoid of embeddings of $({\mathbb Q}, \le)$, on $\mathbb Q$, in the monoid $(M, \circ)$. That is, we show that $\mathbb Q$ itself can be interpreted in $(M, \circ)$, and in addition, so can the action of $M$ on $\mathbb Q$. This is extended to the monoid $E$ of all endomorphisms of $({\mathbb Q}, \le)$.

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John K Truss, Edith Vargas-Garcia. 2019-08-30. Interpreting the action of the endomorphism monoid of the rationals. https://arxiv.org/abs/1908.11727

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