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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 2, Pages 401–410
DOI: https://doi.org/10.33048/smzh.2019.60.211
(Mi smj3083)
 

This article is cited in 1 scientific paper (total in 1 paper)

On holographic structures

B. Kasymkhanulya, A. S. Morozovbc

a L. N. Gumilev Eurasian National University, Astana, Kazakhstan
b Sobolev Institute of Mathematics, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (290 kB) Citations (1)
References:
Abstract: We introduce and study the class of holographic models which can be defined by copying of some of its finite parts by means of automorphisms. We prove this class to differ from the class of countably categorical models. Characterizations of the classes of holographic Boolean algebras, abelian groups, linear orderings, fields, and equivalences are given.
Keywords: holographic structure, countably categorical models, automorphism.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05132349
The authors were supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grant AP05132349).
Received: 06.04.2018
Revised: 06.04.2018
Accepted: 17.10.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 2, Pages 312–318
DOI: https://doi.org/10.1134/S0037446619020113
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 35R30
Language: Russian
Citation: B. Kasymkhanuly, A. S. Morozov, “On holographic structures”, Sibirsk. Mat. Zh., 60:2 (2019), 401–410; Siberian Math. J., 60:2 (2019), 312–318
Citation in format AMSBIB
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\paper On holographic structures
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\pages 401--410
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\crossref{https://doi.org/10.33048/smzh.2019.60.211}
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\transl
\jour Siberian Math. J.
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\pages 312--318
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  • https://www.mathnet.ru/eng/smj/v60/i2/p401
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:304
    Full-text PDF :57
    References:34
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