@article{c8d791ac1f734699937841296e831676,
title = "On Weakly Holographic Structures",
abstract = "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.",
keywords = "510.67, abelian group, automorphism, Boolean algebra, embedding, equivalence, holographic structure, linear order",
author = "B. Kasymkhanuly and Morozov, {A. S.}",
note = "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: {\textcopyright} 2022, Pleiades Publishing, Ltd.",
year = "2022",
month = nov,
doi = "10.1134/S003744662206009X",
language = "English",
volume = "63",
pages = "1091--1101",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "6",
}