On Weakly Holographic Structures
Kasymkhanuly B. Morozov A.S.
November 2022Pleiades Publishing
Siberian Mathematical Journal
2022#63Issue 61091 - 1101 pp.
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.
510.67 , abelian group , automorphism , Boolean algebra , embedding , equivalence , holographic structure , linear order
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Gumilyov Eurasian National University, Astana, Kazakhstan
Sobolev Institute of Mathematics, Novosibirsk, Russian Federation
Novosibirsk State University, Novosibirsk, Russian Federation
Gumilyov Eurasian National University
Sobolev Institute of Mathematics
Novosibirsk State University
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