On Weakly Holographic Structures

B. Kasymkhanuly; A. S. Morozov

doi:10.1134/S003744662206009X

On Weakly Holographic Structures

B. Kasymkhanuly, A. S. Morozov

Section of Discrete Mathematics and Computer Science of MMD and SESC

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1091-1101
Number of pages	11
Journal	Siberian Mathematical Journal
Volume	63
Issue number	6
DOIs	https://doi.org/10.1134/S003744662206009X
Publication status	Published - Nov 2022

Keywords

510.67
abelian group
automorphism
Boolean algebra
embedding
equivalence
holographic structure
linear order

OECD FOS+WOS

1.01 MATHEMATICS

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10.1134/S003744662206009X

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author = "B. Kasymkhanuly and Morozov, {A. S.}",

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AU - Morozov, A. S.

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N2 - 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.

AB - 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.

KW - 510.67

KW - abelian group

KW - automorphism

KW - Boolean algebra

KW - embedding

KW - equivalence

KW - holographic structure

KW - linear order

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DO - 10.1134/S003744662206009X

M3 - Article

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EP - 1101

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -

On Weakly Holographic Structures

Abstract

Keywords

OECD FOS+WOS

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