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 Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 11, Pages 86–91 (Mi ivm9416)

Brief communications

On distribution of countable models of disjoint unions of Ehrenfeucht theories

S. V. Sudoplatovabc

a Sobolev Institute of Mathematics, Siberian Branch of RAS, 4 Academician Koptyug Ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 1 Pirogova str., Novosibirsk, 630090 Russia
c Novosibirsk State Technical University, 20 K. Marks Ave., Novosibirsk, 630073 Russia

Abstract: We describe Rudin–Keisler preorders and distribution functions of numbers of limit models for disjoint unions of Ehrenfeucht theories. We also find decomposition formulas for these distributions.

Keywords: disjoint union of theories, Ehrenfeucht theory, distribution of countable models, decomposition formula.

 Funding Agency Grant Number Russian Foundation for Basic Research 17-01-00531_à Ministry of Education and Science of the Republic of Kazakhstan AP05132546

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UDC: 510.67

Citation: S. V. Sudoplatov, “On distribution of countable models of disjoint unions of Ehrenfeucht theories”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 11, 86–91

Citation in format AMSBIB
\Bibitem{Sud18} \by S.~V.~Sudoplatov \paper On distribution of countable models of disjoint unions of Ehrenfeucht theories \jour Izv. Vyssh. Uchebn. Zaved. Mat. \yr 2018 \issue 11 \pages 86--91 \mathnet{http://mi.mathnet.ru/ivm9416}