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On Holographic Structures. / Kasymkhanuly, B.; Morozov, A. S.

In: Siberian Mathematical Journal, Vol. 60, No. 2, 01.03.2019, p. 312-318.

Research output: Contribution to journalArticlepeer-review

Harvard

Kasymkhanuly, B & Morozov, AS 2019, 'On Holographic Structures', Siberian Mathematical Journal, vol. 60, no. 2, pp. 312-318. https://doi.org/10.1134/S0037446619020113

APA

Kasymkhanuly, B., & Morozov, A. S. (2019). On Holographic Structures. Siberian Mathematical Journal, 60(2), 312-318. https://doi.org/10.1134/S0037446619020113

Vancouver

Kasymkhanuly B, Morozov AS. On Holographic Structures. Siberian Mathematical Journal. 2019 Mar 1;60(2):312-318. doi: 10.1134/S0037446619020113

Author

Kasymkhanuly, B. ; Morozov, A. S. / On Holographic Structures. In: Siberian Mathematical Journal. 2019 ; Vol. 60, No. 2. pp. 312-318.

BibTeX

@article{8c9e54d3a20745c9a0df6b40ba51b2d2,
title = "On Holographic Structures",
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 = "automorphism, countably categorical models, holographic structure",
author = "B. Kasymkhanuly and Morozov, {A. S.}",
year = "2019",
month = mar,
day = "1",
doi = "10.1134/S0037446619020113",
language = "English",
volume = "60",
pages = "312--318",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "2",

}

RIS

TY - JOUR

T1 - On Holographic Structures

AU - Kasymkhanuly, B.

AU - Morozov, A. S.

PY - 2019/3/1

Y1 - 2019/3/1

N2 - 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.

AB - 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.

KW - automorphism

KW - countably categorical models

KW - holographic structure

UR - http://www.scopus.com/inward/record.url?scp=85064899371&partnerID=8YFLogxK

U2 - 10.1134/S0037446619020113

DO - 10.1134/S0037446619020113

M3 - Article

AN - SCOPUS:85064899371

VL - 60

SP - 312

EP - 318

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

ID: 20051167