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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 6, Pages 3–6 (Mi ivm9004)
About the number of models of theories of locally free algebras

K. A. Baikalova

Chair of Algebra and Mathematical Logic, Novosibirsk State Technical University, 20 K. Marks Ave., Novosibirsk, 630073 Russia

Abstract: We study the number of prime models over finite sets and of limit models for countable complete theories of locally free algebras.

Keywords: limit model, prime model, locally free algebra.

UDC: 510.671

Received: 28.12.2013


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:6, 1–4

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© Steklov Math. Inst. of RAS, 2024