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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 1, Pages 85–89
DOI: https://doi.org/10.26907/0021-3446-2022-1-85-89 (Mi ivm9746) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Computable linear orders and the Ershov hierarchy

Y. A. Michailovskayaa, A. N. Frolovb

a Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Innopolis University, 1 Universitetskaya str., Innopolis, 420500 Russia
Full-text PDF (331 kB) Citations (2)
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DOI: https://doi.org/10.26907/0021-3446-2022-1-85-89
Abstract: This work corrects the inaccuracy of the authors' previous work. Namely, we correctly prove that there exists a computable linear order and a series of natural relations on it, the spectrum of which consist of exactly all $n$-c.e. degrees (for any natural number $n$).
Keywords: computable linear orders, the degree spectrum of relations, $n$-computable enumerable ($n$-c.e.) degrees.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1393
Russian Foundation for Basic Research 20-31-70012
Received: 17.12.2021
Revised: 17.12.2021
Accepted: 23.12.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 1, Pages 71–74
DOI: https://doi.org/10.3103/S1066369X22010066
Document Type: Article
UDC: 510.53
Language: Russian
Citation: Y. A. Michailovskaya, A. N. Frolov, “Computable linear orders and the Ershov hierarchy”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 1, 85–89; Russian Math. (Iz. VUZ), 66:1 (2022), 71–74
Citation in format AMSBIB
\Bibitem{MikFro22}
\by Y.~A.~Michailovskaya, A.~N.~Frolov
\paper Computable linear orders and the Ershov hierarchy
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 1
\pages 85--89
\mathnet{http://mi.mathnet.ru/ivm9746}
\crossref{https://doi.org/10.26907/0021-3446-2022-1-85-89}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 1
\pages 71--74
\crossref{https://doi.org/10.3103/S1066369X22010066}
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  • https://www.mathnet.ru/eng/ivm/y2022/i1/p85
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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