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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 3, Pages 587–593
DOI: https://doi.org/10.33048/smzh.2020.61.307 (Mi smj6002) 		 
Spectral universality of linear orders with one binary relation

M. V. Zubkova, A. N. Frolovb

a Kazan (Volga Region) Federal University
b Higher Institute for Information Technology and Information Systems, Kazan Federal University
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DOI: https://doi.org/10.33048/smzh.2020.61.307
Abstract: We show the spectral universality of the class of structures that are linear orders with an additional binary relation and hence with an $n$-ary relation for each $n \ge 2$. To this end, we study the category of the structures. We then obtain some other algorithmic properties of the category by using the notion of a computable functor which was studied in recent papers by other authors.
Keywords: computable linear order, spectral universality, binary relation.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00174
Ministry of Education and Science of the Russian Federation МД-2721.2019.1
M. V. Zubkov was supported by the Russian Foundation for Basic Research (Grant 18-31-00174). A. N. Frolov was supported by the President of the Russian Federation (Grant MD-2721.2019.1).
Received: 25.12.2018
Revised: 10.01.2020
Accepted: 08.04.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 3, Pages 463–467
DOI: https://doi.org/10.1134/S0037446620030076
Bibliographic databases:
Document Type: Article
UDC: 510.53+512.562
Language: Russian
Citation: M. V. Zubkov, A. N. Frolov, “Spectral universality of linear orders with one binary relation”, Sibirsk. Mat. Zh., 61:3 (2020), 587–593; Siberian Math. J., 61:3 (2020), 463–467
Citation in format AMSBIB
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