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On Weakly Coholographic Structures. / Bazhenov, N. A.; Kasymkhanuly, B.; Morozov, A. S.

In: Siberian Mathematical Journal, Vol. 66, No. 3, 02.06.2025, p. 641-649.

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

Harvard

Bazhenov, NA, Kasymkhanuly, B & Morozov, AS 2025, 'On Weakly Coholographic Structures', Siberian Mathematical Journal, vol. 66, no. 3, pp. 641-649. https://doi.org/10.1134/S0037446625030048

APA

Bazhenov, N. A., Kasymkhanuly, B., & Morozov, A. S. (2025). On Weakly Coholographic Structures. Siberian Mathematical Journal, 66(3), 641-649. https://doi.org/10.1134/S0037446625030048

Vancouver

Bazhenov NA, Kasymkhanuly B, Morozov AS. On Weakly Coholographic Structures. Siberian Mathematical Journal. 2025 Jun 2;66(3):641-649. doi: 10.1134/S0037446625030048

Author

Bazhenov, N. A. ; Kasymkhanuly, B. ; Morozov, A. S. / On Weakly Coholographic Structures. In: Siberian Mathematical Journal. 2025 ; Vol. 66, No. 3. pp. 641-649.

BibTeX

@article{40f7437f817249af8f1dccdf6aa11c2a,
title = "On Weakly Coholographic Structures",
abstract = "We introduce and study the notion of weak coholographicity, which generalizes the concept of holographicity and is, in a certain sense, dual to the notion of weak holographicity.We describe weakly coholographic fields and abelian groups, and prove that all ordinals, equivalence relations, and countable Boolean algebras are weakly coholographic.A complete picture is given of the relationships among the properties of holographicity, weak holographicity, weak coholographicity, and countable categoricity.",
keywords = "510.67, categorical structure, holographic structure, holographicity, weakly coholographic structure, weakly holographic structure",
author = "Bazhenov, {N. A.} and B. Kasymkhanuly and Morozov, {A. S.}",
note = "Kasymkhanuly and Morozov are supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant no. AP19677451). Morozov is also supported by the Ministry of Science and Higher Education of the Russian Federation (Project FWNF 2022–0012). Bazhenov is supported by the Nazarbayev University Faculty Development Competitive Research Grant Program (no. 201223FD8823).",
year = "2025",
month = jun,
day = "2",
doi = "10.1134/S0037446625030048",
language = "English",
volume = "66",
pages = "641--649",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - On Weakly Coholographic Structures

AU - Bazhenov, N. A.

AU - Kasymkhanuly, B.

AU - Morozov, A. S.

N1 - Kasymkhanuly and Morozov are supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan (Grant no. AP19677451). Morozov is also supported by the Ministry of Science and Higher Education of the Russian Federation (Project FWNF 2022–0012). Bazhenov is supported by the Nazarbayev University Faculty Development Competitive Research Grant Program (no. 201223FD8823).

PY - 2025/6/2

Y1 - 2025/6/2

N2 - We introduce and study the notion of weak coholographicity, which generalizes the concept of holographicity and is, in a certain sense, dual to the notion of weak holographicity.We describe weakly coholographic fields and abelian groups, and prove that all ordinals, equivalence relations, and countable Boolean algebras are weakly coholographic.A complete picture is given of the relationships among the properties of holographicity, weak holographicity, weak coholographicity, and countable categoricity.

AB - We introduce and study the notion of weak coholographicity, which generalizes the concept of holographicity and is, in a certain sense, dual to the notion of weak holographicity.We describe weakly coholographic fields and abelian groups, and prove that all ordinals, equivalence relations, and countable Boolean algebras are weakly coholographic.A complete picture is given of the relationships among the properties of holographicity, weak holographicity, weak coholographicity, and countable categoricity.

KW - 510.67

KW - categorical structure

KW - holographic structure

KW - holographicity

KW - weakly coholographic structure

KW - weakly holographic structure

UR - https://www.mendeley.com/catalogue/f4b01685-a5b0-3ccc-8491-258aac26ac4b/

UR - https://doi.org/10.1134/S0037446625030048

U2 - 10.1134/S0037446625030048

DO - 10.1134/S0037446625030048

M3 - Article

VL - 66

SP - 641

EP - 649

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 67703660