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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 6, Pages 1306–1331
DOI: https://doi.org/10.17377/smzh.2017.58.611 (Mi smj2940) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Negative dense linear orders

N. Kh. Kasymov, R. N. Dadazhanov

Uzbekistan National University, Tashkent, Uzbekistan
Full-text PDF (418 kB) Citations (9)
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DOI: https://doi.org/10.17377/smzh.2017.58.611
Abstract: Considering dense linear orders, we establish their negative representability over every infinite negative equivalence, as well as uniformly computable separability by computable gaps and the productivity of the set of computable sections of their negative representations. We construct an infinite decreasing chain of negative representability degrees of linear orders and prove the computability of locally computable enumerations of the field of rational numbers.
Keywords: enumerated systems and morphisms, negative and positive linear orders, computable sequences and sections, productivity of computable sections, computable completion, negative representation of the field of rational numbers.
Funding agency Grant number
Heritage of Academician T. N. Kary-Niyazov
The authors were supported by the fund “Heritage of Academician T. N. Kary-Niyazov”.
Received: 16.01.2017
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 6, Pages 1015–1033
DOI: https://doi.org/10.1134/S0037446617060118
Bibliographic databases:
Document Type: Article
UDC: 510.5
MSC: 35R30
Language: Russian
Citation: N. Kh. Kasymov, R. N. Dadazhanov, “Negative dense linear orders”, Sibirsk. Mat. Zh., 58:6 (2017), 1306–1331; Siberian Math. J., 58:6 (2017), 1015–1033
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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