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Algebra and Discrete Mathematics, 2012, том 14, выпуск 1, страницы 14–28
(Mi adm81)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
SURVEY ARTICLE
Local embeddability
Oleg Belegradek Department of Mathematics, Istanbul Bilgi University,
Hacıahmet Mahallesi, Pir Hüsamettin Sokak,
No: 20, Dolapdere 34440, Beyoğlu, Istanbul, Turkey
Аннотация:
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.
Ключевые слова:
local embeddability, universal theory, ultraproduct, limit structure.
Поступила в редакцию: 10.06.2012 Принята в печать: 10.06.2012
Образец цитирования:
Oleg Belegradek, “Local embeddability”, Algebra Discrete Math., 14:1 (2012), 14–28
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm81 https://www.mathnet.ru/rus/adm/v14/i1/p14
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