On Weakly Holographic Structures

We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equi...

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Bibliographic Details
Published in:Siberian mathematical journal 2022-11, Vol.63 (6), p.1091-1101
Main Authors: Kasymkhanuly, B., Morozov, A. S.
Format: Article
Language:English
Subjects:
Group theory
Holography
Mathematics
Mathematics and Statistics
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Summary:We introduce and study the notion of weak holographicity for structures, generalizing the notion of holographicity which was earlier introduced by the authors. We prove some general properties of the notion and characterize weakly holographic Boolean algebras, linear orders, abelian groups, and equivalences. We also make some corrections to the previous paper on holographic structures and strengthen one of its results.
ISSN:0037-4466
1573-9260
DOI:10.1134/S003744662206009X