## Abstract

In many branches of mathematics, where one is studying a system of some particular type, it is of interest to find out ways of forming new systems of the given type from known examples. One useful method that can often be applied is based on the cartesian product construction. In this section we investigate this construction in the case where the underlying system is a first-order theory T = ( into a model of T, independently of the particular nature of T.

*ℛ*,*A*,*C*), and (*M*_{ i },*v*_{ i },*ψ*_{ i }) for*i*∈*I*is a family of models of T. We therefore investigate the possibility of making$$ M = \prod\nolimits_{i \in I} {{M_i}} $$

## Keywords

Direct Limit Countable Model Monic Polynomial Congruence Class Inaccessible Cardinal
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer Science+Business Media New York 1975