On Weakly Coholographic Structures Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 3, Pages: 641–649 Pages count : DOI: 10.1134/S0037446625030048 | ||||||
| Tags | holographicity, holographic structure, weakly holographic structure, weakly coholographic structure, categorical structure | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0012 |
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.
Cite:
Bazhenov N.A.
, Kasymkhanuly B.
, Morozov A.S.
On Weakly Coholographic Structures
Siberian Mathematical Journal. 2025. V.66. N3. P.641–649. DOI: 10.1134/S0037446625030048 WOS Scopus РИНЦ OpenAlex
On Weakly Coholographic Structures
Siberian Mathematical Journal. 2025. V.66. N3. P.641–649. DOI: 10.1134/S0037446625030048 WOS Scopus РИНЦ OpenAlex
Original:
Баженов Н.А.
, Касымканулы Б.
, Морозов А.С.
О слабо коголографичных структурах
Сибирский математический журнал. 2025. Т.66. №3. С.378-388. DOI: 10.33048/smzh.2025.66.304
О слабо коголографичных структурах
Сибирский математический журнал. 2025. Т.66. №3. С.378-388. DOI: 10.33048/smzh.2025.66.304
Dates:
| Submitted: | Nov 27, 2024 |
| Accepted: | Apr 25, 2025 |
| Published print: | Jun 2, 2025 |
| Published online: | Jun 2, 2025 |
Identifiers:
| Web of science: | WOS:001500903100019 |
| Scopus: | 2-s2.0-105007165184 |
| Elibrary: | 82395830 |
| OpenAlex: | W4410947236 |
Citing:
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