On Weakly Holographic Structures

2022

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DOI 10.1134/s003744662206009x
Data confidence 70 medium
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Abstract

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.