Local embeddability
For an arbitrary class of algebraic structures we consider a notion of a structure locally embeddable to structures of the class. This generalizes the notion of a group locally embeddable to finite groups studied by Vershik and Gordon. We give various model-theoretic characterizations of such struct...
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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/708 |
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| Journal Title: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-7082018-04-04T09:58:22Z Local embeddability Belegradek, Oleg local embeddability, universal theory, ultraproduct,limit structure 03C60, 20A15 For an arbitrary class of algebraic structures we consider a notion of a structure locally embeddable to structures of the class. This generalizes the notion of a group locally embeddable to finite groups studied by Vershik and Gordon. We give various model-theoretic characterizations of such structures. Some of them generalize known group-theoretic results. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/708 Algebra and Discrete Mathematics; Vol 14, No 1 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/708/241 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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2018-04-04T09:58:22Z |
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OJS |
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English |
| topic |
local embeddability universal theory ultraproduct,limit structure 03C60 20A15 |
| spellingShingle |
local embeddability universal theory ultraproduct,limit structure 03C60 20A15 Belegradek, Oleg Local embeddability |
| topic_facet |
local embeddability universal theory ultraproduct,limit structure 03C60 20A15 |
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Article |
| author |
Belegradek, Oleg |
| author_facet |
Belegradek, Oleg |
| author_sort |
Belegradek, Oleg |
| title |
Local embeddability |
| title_short |
Local embeddability |
| title_full |
Local embeddability |
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Local embeddability |
| title_full_unstemmed |
Local embeddability |
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local embeddability |
| description |
For an arbitrary class of algebraic structures we consider a notion of a structure locally embeddable to structures of the class. This generalizes the notion of a group locally embeddable to finite groups studied by Vershik and Gordon. We give various model-theoretic characterizations of such structures. Some of them generalize known group-theoretic results. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/708 |
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AT belegradekoleg localembeddability |
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2025-07-17T10:37:18Z |
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2025-07-17T10:37:18Z |
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1837890156740214784 |