Set Theory and Logic


Ultra-Universal Models

Authors: Colin Naturman, Henry Rose

The concept of ultra-universal algebras in varieties is generalized to models of first order theories. Characterizations of theories which have ulta-universal models are found and general examples of ultra-universal models are investigated. In particular we show that a theory has an ultra-universal model iff it is consistent and its class of models satisfies the joint embedding property.

Comments: 10 Pages.

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[v1] 2012-12-20 14:29:35

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