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Algebra i logika, 2021, Volume 60, Number 1, Pages 96–112
DOI: https://doi.org/10.33048/alglog.2021.60.106 (Mi al2651) 		 
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
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DOI: https://doi.org/10.33048/alglog.2021.60.106
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.
Funding agency
E. Vargas-García is supported by Asociacíon Mexicana de Cultura A.C.
Received: 04.09.2019
Revised: 31.05.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 1, Pages 64–74
DOI: https://doi.org/10.1007/s10469-021-09628-w
Bibliographic databases:
Document Type: Article
UDC: 510.65
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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