S. V. Sudoplatov, “On distribution of countable models of disjoint unions of Ehrenfeucht theories”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 11,Pages <nobr>86

Brief communications

On distribution of countable models of disjoint unions of Ehrenfeucht theories

S. V. Sudoplatov^abc

^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.

UDC: 510.67

Received: 07.05.2018