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Sibirskii Matematicheskii Zhurnal, 2022, Volume 63, Number 6, Pages 1276–1289
DOI: https://doi.org/10.33048/smzh.2022.63.609 (Mi smj7731) 		 
On weakly holographic structures

B. Kasymkanulya, A. S. Morozovbc

a Eurasian National University named after L.N. Gumilyov, Nur-Sultan
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State University
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DOI: https://doi.org/10.33048/smzh.2022.63.609
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.
Keywords: holographic structure, automorphism, embedding, Boolean algebra, linear order, abelian group, equivalence.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP08855497
Ministry of Science and Higher Education of the Russian Federation FWNF 2022-0012
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).
Received: 13.03.2022
Revised: 08.05.2022
Accepted: 15.06.2022
English version:
Siberian Mathematical Journal, 2022, Volume 63, Issue 6, Pages 1091–1101
DOI: https://doi.org/10.1134/S003744662206009X
Document Type: Article
UDC: 510.67
MSC: 35R30
Language: Russian
Citation: B. Kasymkanuly, A. S. Morozov, “On weakly holographic structures”, Sibirsk. Mat. Zh., 63:6 (2022), 1276–1289; Siberian Math. J., 63:6 (2022), 1091–1101
Citation in format AMSBIB
\Bibitem{KasMor22}
\by B.~Kasymkanuly, A.~S.~Morozov
\paper On weakly holographic structures
\jour Sibirsk. Mat. Zh.
\yr 2022
\vol 63
\issue 6
\pages 1276--1289
\mathnet{http://mi.mathnet.ru/smj7731}
\crossref{https://doi.org/10.33048/smzh.2022.63.609}
\transl
\jour Siberian Math. J.
\yr 2022
\vol 63
\issue 6
\pages 1091--1101
\crossref{https://doi.org/10.1134/S003744662206009X}
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