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This article is cited in 1 scientific paper (total in 1 paper)
Interpreting the action of the endomorphism monoid of the rationals
J. K. Trussa, E. Vargas-Garcíab a Dep. Pure Math., Univ. Leeds, Leeds, UK
b Dep. Math., ITAM, Ciudad de México, MEXICO
Abstract:
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.
Received: 04.09.2019 Revised: 31.05.2021
Citation:
J. K. Truss, E. Vargas-García, “Interpreting the action of the endomorphism monoid of the rationals”, Algebra Logika, 60:1 (2021), 96–112; Algebra and Logic, 60:1 (2021), 64–74
Linking options:
https://www.mathnet.ru/eng/al2651 https://www.mathnet.ru/eng/al/v60/i1/p96
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Abstract page: | 124 | Full-text PDF : | 25 | References: | 19 | First page: | 6 |
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