TY - JOUR

T1 - On Weakly Holographic Structures

AU - Kasymkhanuly, B.

AU - Morozov, A. S.

N1 - Funding Information: 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). Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/11

Y1 - 2022/11

N2 - We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introducedby the authors. We prove some general properties of the notion and characterize weaklyholographic Boolean algebras, linear orders, abelian groups, andequivalences.We also make some corrections to the previous paper on holographic structuresand strengthen one of its results.

AB - We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introducedby the authors. We prove some general properties of the notion and characterize weaklyholographic Boolean algebras, linear orders, abelian groups, andequivalences.We also make some corrections to the previous paper on holographic structuresand strengthen one of its results.

KW - 510.67

KW - abelian group

KW - automorphism

KW - Boolean algebra

KW - embedding

KW - equivalence

KW - holographic structure

KW - linear order

UR - http://www.scopus.com/inward/record.url?scp=85143510315&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/49d43601-390a-3c45-b748-f5691b0881a0/

U2 - 10.1134/S003744662206009X

DO - 10.1134/S003744662206009X

M3 - Article

AN - SCOPUS:85143510315

VL - 63

SP - 1091

EP - 1101

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -