Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 444–450 (Mi semr499)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

On quasiregular structures with computable signatures

A. I. Stukachevab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (538 kB) Citations (2)
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Abstract: We extend the notion of HF-superstructure from the case of structures with finite signatures to the case of structures with computable signatures. It is shown that such expansions preserve some known properties of HF-superstructures. Namely, we prove that the property of quasiregularity of a structure is sufficient for qausiresolvability of the corresponding HF-superstructure.
Keywords: computability, computable structures, admissible sets, HF-superstructures.
Received December 18, 2013, published June 4, 2014
Document Type: Article
UDC: 510.5
MSC: 03D45
Language: Russian
Citation: A. I. Stukachev, “On quasiregular structures with computable signatures”, Sib. Èlektron. Mat. Izv., 11 (2014), 444–450
Citation in format AMSBIB
\Bibitem{Stu14}
\by A.~I.~Stukachev
\paper On quasiregular structures with computable signatures
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 444--450
\mathnet{http://mi.mathnet.ru/semr499}
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  • https://www.mathnet.ru/eng/semr499
  • https://www.mathnet.ru/eng/semr/v11/p444
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :49
    References:41
     
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