This article is cited in 1 paper

SURVEY ARTICLE

Local embeddability

Oleg Belegradek

Department of Mathematics, Istanbul Bilgi University, Hacıahmet Mahallesi, Pir Hüsamettin Sokak, No: 20, Dolapdere 34440, Beyoğlu, Istanbul, Turkey

Abstract: 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.

Keywords: local embeddability, universal theory, ultraproduct, limit structure.

MSC: 03C60, 20A15

Received: 10.06.2012
Accepted: 10.06.2012

Language: English

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