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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 28–36
DOI: https://doi.org/10.33048/smzh.2019.60.103 (Mi smj3056) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Primitively recursively categorical linear orderings

K. V. Blinov

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (307 kB) Citations (6)
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DOI: https://doi.org/10.33048/smzh.2019.60.103
Abstract: We prove that linear orderings are primitively recursively categorical over a class of structures $K_\Sigma$ if and only if they contain only finitely many successivities.
Keywords: primitively recursive categoricity, linear ordering, decidability with primitively recursive witnesses.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00247_а
The author was supported by the Russian Foundation for Basic Research (Grant 17-01-00247).
Received: 23.04.2018
Revised: 04.09.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 20–26
DOI: https://doi.org/10.1134/S0037446619010038
Bibliographic databases:
Document Type: Article
UDC: 510.57
Language: Russian
Citation: K. V. Blinov, “Primitively recursively categorical linear orderings”, Sibirsk. Mat. Zh., 60:1 (2019), 28–36; Siberian Math. J., 60:1 (2019), 20–26
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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