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On Weakly Holographic Structures

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Abstract

We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equivalences. We also make some corrections to the previous paper on holographic structures and strengthen one of its results.

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References

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Funding

Both authors were supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grant AP08855497). The second author was also supported by the Ministry of Science and Higher Education of the Russian Federation (Project FWNF–2022–0012).

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Authors and Affiliations

  1. Gumilyov Eurasian National University, Astana, Kazakhstan

    B. Kasymkhanuly

  2. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. S. Morozov

  3. Novosibirsk State University, Novosibirsk, Russia

    A. S. Morozov

Authors
  1. B. Kasymkhanuly
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  2. A. S. Morozov
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Corresponding author

Correspondence to B. Kasymkhanuly.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2022, Vol. 63, No. 6, pp. 1276–1289. https://doi.org/10.33048/smzh.2022.63.609

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Kasymkhanuly, B., Morozov, A.S. On Weakly Holographic Structures. Sib Math J 63, 1091–1101 (2022). https://doi.org/10.1134/S003744662206009X

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  • DOI: https://doi.org/10.1134/S003744662206009X

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