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Algebra i logika, 2016, Volume 55, Number 4, Pages 393–418
DOI: https://doi.org/10.17377/alglog.2016.55.401 (Mi al748) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Degrees of autostability for linear orderings and linearly ordered Abelian groups

N. A. Bazhenovab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
Full-text PDF (247 kB) Citations (11)
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DOI: https://doi.org/10.17377/alglog.2016.55.401
Abstract: It is proved that every computable ordinal has a degree of autostability. We construct new examples of degrees of autostability in the class of linear orderings and in the class of linearly ordered Abelian groups.
Keywords: autostability, computable categoricity, index set, linear ordering, autostability spectrum, categoricity spectrum, degree of autostability, degree of categoricity, ordered Abelian group.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-6848.2016.1
Russian Foundation for Basic Research 14-01-00376
Supported by the Grants Council (under RF President) for State Aid of Leading Scientific Schools (grant NSh-6848.2016.1) and by RFBR (project No. 14-01-00376).
Received: 12.05.2015
Revised: 14.11.2015
English version:
Algebra and Logic, 2016, Volume 55, Issue 4, Pages 257–273
DOI: https://doi.org/10.1007/s10469-016-9395-4
Bibliographic databases:
Document Type: Article
UDC: 510.5+510.6
Language: Russian
Citation: N. A. Bazhenov, “Degrees of autostability for linear orderings and linearly ordered Abelian groups”, Algebra Logika, 55:4 (2016), 393–418; Algebra and Logic, 55:4 (2016), 257–273
Citation in format AMSBIB
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\by N.~A.~Bazhenov
\paper Degrees of autostability for linear orderings and linearly ordered Abelian groups
\jour Algebra Logika
\yr 2016
\vol 55
\issue 4
\pages 393--418
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\crossref{https://doi.org/10.17377/alglog.2016.55.401}
\transl
\jour Algebra and Logic
\yr 2016
\vol 55
\issue 4
\pages 257--273
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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    Full-text PDF :45
    References:48
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