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 journal › Article › peer-review
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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