On Weakly Holographic Structures

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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Veröffentlicht in:Siberian mathematical journal 2022-11, Vol.63 (6), p.1091-1101
Hauptverfasser: Kasymkhanuly, B., Morozov, A. S.
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Holography
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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