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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2012 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152225 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Local embeddability / O. Belegradek // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 14–28. — Бібліогр.: 12 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862742155693391872 |
|---|---|
| author | Belegradek, O. |
| author_facet | Belegradek, O. |
| citation_txt | Local embeddability / O. Belegradek // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 14–28. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T20:24:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152225 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:24:10Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Belegradek, O. 2019-06-09T05:35:54Z 2019-06-09T05:35:54Z 2012 Local embeddability / O. Belegradek // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 14–28. — Бібліогр.: 12 назв. — англ. 1726-3255 2010 MSC:03C60, 20A15. https://nasplib.isofts.kiev.ua/handle/123456789/152225 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Local embeddability Article published earlier |
| spellingShingle | Local embeddability Belegradek, O. |
| title | Local embeddability |
| title_full | Local embeddability |
| title_fullStr | Local embeddability |
| title_full_unstemmed | Local embeddability |
| title_short | Local embeddability |
| title_sort | local embeddability |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152225 |
| work_keys_str_mv | AT belegradeko localembeddability |