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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
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.
Received: 06.04.2018 Revised: 06.04.2018 Accepted: 17.10.2018
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
Linking options:
https://www.mathnet.ru/eng/smj3083 https://www.mathnet.ru/eng/smj/v60/i2/p401
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Abstract page: | 304 | Full-text PDF : | 57 | References: | 34 | First page: | 4 |
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