Local embeddability

• Datum: 2018
• 1. Verfasser: Belegradek, Oleg
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: local embeddability; universal theory; ultraproduct,limit structure; 03C60; 20A15
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/708
• Назва журналу: Algebra and Discrete Mathematics

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...