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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2019 Volume 60, Number 2, Pages 401–410 (Mi smj3083)

This article is cited 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

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.

UDC: 510.67

MSC: 35R30

Received: 06.04.2018
Revised: 06.04.2018
Accepted: 17.10.2018

DOI: 10.33048/smzh.2019.60.211


 English version:
Siberian Mathematical Journal, 2019, 60:2, 312–318

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© Steklov Math. Inst. of RAS, 2024